Elliptic curves over $\Q$ of conductor 24300

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (48 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
24300.a1	24300t1	24300.a	24300t	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{6} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$0.644706600$	$1$		$4$	$7776$	$0.172406$	$0$		$2.51301$	$1$	$[0, 0, 0, 0, -375]$	\(y^2=x^3-375\)		$[(10, 25)]$	$1$
24300.a2	24300t2	24300.a	24300t	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{6} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1.934119802$	$1$		$2$	$23328$	$0.721712$	$0$		$3.16577$	$1$	$[0, 0, 0, 0, 10125]$	\(y^2=x^3+10125\)		$[(-5, 100)]$	$1$
24300.b1	24300e2	24300.b	24300e	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{10} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$160380$	$1.672342$	$0$		$4.29543$	$1$	$[0, 0, 0, 0, -3037500]$	\(y^2=x^3-3037500\)		$[ ]$	$1$
24300.b2	24300e1	24300.b	24300e	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{10} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$53460$	$1.123035$	$0$		$3.64267$	$1$	$[0, 0, 0, 0, 112500]$	\(y^2=x^3+112500\)		$[ ]$	$1$
24300.c1	24300s1	24300.c	24300s	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{2} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1.001539839$	$1$		$4$	$3888$	$-0.133024$	$0$		$2.15006$	$1$	$[0, 0, 0, 0, -60]$	\(y^2=x^3-60\)		$[(4, 2)]$	$1$
24300.c2	24300s2	24300.c	24300s	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{2} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$3.004619518$	$1$		$2$	$11664$	$0.416282$	$0$		$2.80282$	$1$	$[0, 0, 0, 0, 1620]$	\(y^2=x^3+1620\)		$[(-11, 17)]$	$1$
24300.d1	24300f2	24300.d	24300f	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{13} \cdot 5^{2} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$14580$	$0.368335$	$0$		$2.74584$	$1$	$[0, 0, 0, 0, -1215]$	\(y^2=x^3-1215\)		$[ ]$	$1$
24300.d2	24300f1	24300.d	24300f	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{2} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$4860$	$-0.180972$	$0$		$2.09309$	$1$	$[0, 0, 0, 0, 45]$	\(y^2=x^3+45\)		$[ ]$	$1$
24300.e1	24300x2	24300.e	24300x	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{13} \cdot 5^{4} \)	$2$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.4	3B.1.2				$12.50183735$	$1$		$4$	$17496$	$0.636574$	$0$		$3.06460$	$1$	$[0, 0, 0, 0, -6075]$	\(y^2=x^3-6075\)		$[(19, 28), (31, 154)]$	$1$
24300.e2	24300x1	24300.e	24300x	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{4} \)	$2$	$\Z/3\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.1	3B.1.1				$1.389093039$	$1$		$26$	$5832$	$0.087268$	$0$		$2.41184$	$1$	$[0, 0, 0, 0, 225]$	\(y^2=x^3+225\)		$[(-6, 3), (6, 21)]$	$1$
24300.f1	24300j1	24300.f	24300j	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{4} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.4	3B.1.2				$4.654483039$	$1$		$0$	$3888$	$0.135215$	$0$		$2.46882$	$1$	$[0, 0, 0, 0, -300]$	\(y^2=x^3-300\)		$[(61/3, 91/3)]$	$1$
24300.f2	24300j2	24300.f	24300j	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{4} \)	$1$	$\Z/3\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.1	3B.1.1				$1.551494346$	$1$		$10$	$11664$	$0.684522$	$0$		$3.12157$	$1$	$[0, 0, 0, 0, 8100]$	\(y^2=x^3+8100\)		$[(45, 315)]$	$1$
24300.g1	24300k1	24300.g	24300k	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{8} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.4	3B.1.2				$6.689068438$	$1$		$0$	$9720$	$0.440645$	$0$		$2.83177$	$1$	$[0, 0, 0, 0, -1875]$	\(y^2=x^3-1875\)		$[(481/6, 4879/6)]$	$1$
24300.g2	24300k2	24300.g	24300k	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{8} \)	$1$	$\Z/3\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.1	3B.1.1				$2.229689479$	$1$		$6$	$29160$	$0.989951$	$0$		$3.48453$	$1$	$[0, 0, 0, 0, 50625]$	\(y^2=x^3+50625\)		$[(-36, 63)]$	$1$
24300.h1	24300i1	24300.h	24300i	$1$	$1$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( 2^{8} \cdot 3^{7} \cdot 5^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$60$	$2$	$0$	$3.920760142$	$1$		$2$	$38880$	$1.019361$	$3888$	$0.64602$	$3.56360$	$1$	$[0, 0, 0, -3375, -56250]$	\(y^2=x^3-3375x-56250\)	60.2.0.a.1	$[(-26, 118)]$	$1$
24300.i1	24300w2	24300.i	24300w	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{8} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.4	3B.1.2				$1$	$9$	$3$	$0$	$43740$	$1.404102$	$0$		$3.97667$	$1$	$[0, 0, 0, 0, -607500]$	\(y^2=x^3-607500\)		$[ ]$	$1$
24300.i2	24300w1	24300.i	24300w	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \)	$0$	$\Z/3\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.1	3B.1.1				$1$	$1$		$2$	$14580$	$0.854796$	$0$		$3.32392$	$1$	$[0, 0, 0, 0, 22500]$	\(y^2=x^3+22500\)		$[ ]$	$1$
24300.j1	24300g1	24300.j	24300g	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{4} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.4	3B.1.2				$4.760180787$	$1$		$0$	$2916$	$-0.095834$	$0$		$2.19426$	$1$	$[0, 0, 0, 0, -75]$	\(y^2=x^3-75\)		$[(91/3, 836/3)]$	$1$
24300.j2	24300g2	24300.j	24300g	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{4} \)	$1$	$\Z/3\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.1	3B.1.1				$1.586726929$	$1$		$8$	$8748$	$0.453472$	$0$		$2.84701$	$1$	$[0, 0, 0, 0, 2025]$	\(y^2=x^3+2025\)		$[(-9, 36)]$	$1$
24300.k1	24300h1	24300.k	24300h	$1$	$1$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( 2^{8} \cdot 3^{13} \cdot 5^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$60$	$2$	$0$	$1.992318088$	$1$		$2$	$116640$	$1.568666$	$3888$	$0.64602$	$4.21635$	$1$	$[0, 0, 0, -30375, 1518750]$	\(y^2=x^3-30375x+1518750\)	60.2.0.a.1	$[(175, 1250)]$	$1$
24300.l1	24300v1	24300.l	24300v	$1$	$1$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( 2^{8} \cdot 3^{7} \cdot 5^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$60$	$2$	$0$	$0.300031223$	$1$		$18$	$7776$	$0.214642$	$3888$	$0.64602$	$2.60733$	$1$	$[0, 0, 0, -135, -450]$	\(y^2=x^3-135x-450\)	60.2.0.a.1	$[(-5, 10), (15, 30)]$	$1$
24300.m1	24300p2	24300.m	24300p	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( 2^{8} \cdot 3^{11} \cdot 5^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$60$	$16$	$0$	$4.632201809$	$1$		$2$	$46656$	$1.383228$	$444528/125$	$0.81771$	$3.98994$	$1$	$[0, 0, 0, -14175, 465750]$	\(y^2=x^3-14175x+465750\)	3.4.0.a.1, 12.8.0-3.a.1.4, 15.8.0-3.a.1.2, 60.16.0-60.b.1.6	$[(34, 152)]$	$1$
24300.m2	24300p1	24300.m	24300p	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( 2^{8} \cdot 3^{5} \cdot 5^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$60$	$16$	$0$	$1.544067269$	$1$		$4$	$15552$	$0.833922$	$15768432/5$	$0.89110$	$3.69059$	$1$	$[0, 0, 0, -5175, -143250]$	\(y^2=x^3-5175x-143250\)	3.4.0.a.1, 12.8.0-3.a.1.3, 15.8.0-3.a.1.1, 60.16.0-60.b.1.4	$[(-41, 2)]$	$1$
24300.n1	24300a2	24300.n	24300a	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{2} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$8748$	$0.599383$	$0$		$3.02040$	$1$	$[0, 0, 0, 0, -4860]$	\(y^2=x^3-4860\)		$[ ]$	$1$
24300.n2	24300a1	24300.n	24300a	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$2916$	$0.050077$	$0$		$2.36765$	$1$	$[0, 0, 0, 0, 180]$	\(y^2=x^3+180\)		$[ ]$	$1$
24300.o1	24300n1	24300.o	24300n	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{10} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$3.425277513$	$1$		$2$	$14580$	$0.708885$	$0$		$3.15053$	$1$	$[0, 0, 0, 0, -9375]$	\(y^2=x^3-9375\)		$[(34, 173)]$	$1$
24300.o2	24300n2	24300.o	24300n	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{10} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$10.27583254$	$1$		$0$	$43740$	$1.258192$	$0$		$3.80328$	$1$	$[0, 0, 0, 0, 253125]$	\(y^2=x^3+253125\)		$[(451/17, 2471824/17)]$	$1$
24300.p1	24300m1	24300.p	24300m	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{6} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1.328694280$	$1$		$2$	$7776$	$0.403455$	$0$		$2.78758$	$1$	$[0, 0, 0, 0, -1500]$	\(y^2=x^3-1500\)		$[(40, 250)]$	$1$
24300.p2	24300m2	24300.p	24300m	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{6} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$3.986082841$	$1$		$0$	$23328$	$0.952761$	$0$		$3.44033$	$1$	$[0, 0, 0, 0, 40500]$	\(y^2=x^3+40500\)		$[(145/2, 2375/2)]$	$1$
24300.q1	24300b2	24300.q	24300b	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{13} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$23328$	$0.904814$	$0$		$3.38335$	$1$	$[0, 0, 0, 0, -30375]$	\(y^2=x^3-30375\)		$[ ]$	$1$
24300.q2	24300b1	24300.q	24300b	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$7776$	$0.355508$	$0$		$2.73060$	$1$	$[0, 0, 0, 0, 1125]$	\(y^2=x^3+1125\)		$[ ]$	$1$
24300.r1	24300o2	24300.r	24300o	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( 2^{8} \cdot 3^{11} \cdot 5^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$60$	$16$	$0$	$1.787504231$	$1$		$2$	$46656$	$1.383228$	$15768432/5$	$0.89110$	$4.34334$	$1$	$[0, 0, 0, -46575, 3867750]$	\(y^2=x^3-46575x+3867750\)	3.4.0.a.1, 12.8.0-3.a.1.4, 15.8.0-3.a.1.2, 60.16.0-60.b.1.6	$[(130, 100)]$	$1$
24300.r2	24300o1	24300.r	24300o	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( 2^{8} \cdot 3^{5} \cdot 5^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$60$	$16$	$0$	$0.595834743$	$1$		$4$	$15552$	$0.833922$	$444528/125$	$0.81771$	$3.33718$	$1$	$[0, 0, 0, -1575, -17250]$	\(y^2=x^3-1575x-17250\)	3.4.0.a.1, 12.8.0-3.a.1.3, 15.8.0-3.a.1.1, 60.16.0-60.b.1.4	$[(55, 250)]$	$1$
24300.s1	24300u1	24300.s	24300u	$1$	$1$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( 2^{8} \cdot 3^{13} \cdot 5^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$60$	$2$	$0$	$1$	$1$		$0$	$23328$	$0.763948$	$3888$	$0.64602$	$3.26009$	$1$	$[0, 0, 0, -1215, 12150]$	\(y^2=x^3-1215x+12150\)	60.2.0.a.1	$[ ]$	$1$
24300.t1	24300c2	24300.t	24300c	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$46656$	$1.135862$	$0$		$3.65792$	$1$	$[0, 0, 0, 0, -121500]$	\(y^2=x^3-121500\)		$[ ]$	$1$
24300.t2	24300c1	24300.t	24300c	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{6} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$15552$	$0.586556$	$0$		$3.00516$	$1$	$[0, 0, 0, 0, 4500]$	\(y^2=x^3+4500\)		$[ ]$	$1$
24300.u1	24300r1	24300.u	24300r	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{2} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1.283288978$	$1$		$2$	$1944$	$-0.364074$	$0$		$1.87550$	$1$	$[0, 0, 0, 0, -15]$	\(y^2=x^3-15\)		$[(4, 7)]$	$1$
24300.u2	24300r2	24300.u	24300r	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{2} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$3.849866935$	$1$		$0$	$5832$	$0.185233$	$0$		$2.52826$	$1$	$[0, 0, 0, 0, 405]$	\(y^2=x^3+405\)		$[(1/2, 161/2)]$	$1$
24300.v1	24300q1	24300.v	24300q	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{10} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$4.896543223$	$1$		$2$	$19440$	$0.939934$	$0$		$3.42509$	$1$	$[0, 0, 0, 0, -37500]$	\(y^2=x^3-37500\)		$[(316, 5614)]$	$1$
24300.v2	24300q2	24300.v	24300q	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{10} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$14.68962967$	$1$		$0$	$58320$	$1.489241$	$0$		$4.07784$	$1$	$[0, 0, 0, 0, 1012500]$	\(y^2=x^3+1012500\)		$[(1962781/79, 2794236571/79)]$	$1$
24300.w1	24300d2	24300.w	24300d	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{13} \cdot 5^{10} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$4$	$2$	$0$	$87480$	$1.441294$	$0$		$4.02087$	$1$	$[0, 0, 0, 0, -759375]$	\(y^2=x^3-759375\)		$[ ]$	$1$
24300.w2	24300d1	24300.w	24300d	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{10} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$4$	$2$	$0$	$29160$	$0.891987$	$0$		$3.36811$	$1$	$[0, 0, 0, 0, 28125]$	\(y^2=x^3+28125\)		$[ ]$	$1$
24300.x1	24300z2	24300.x	24300z	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{13} \cdot 5^{8} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.4	3B.1.2				$1$	$9$	$3$	$0$	$72900$	$1.173054$	$0$		$3.70211$	$1$	$[0, 0, 0, 0, -151875]$	\(y^2=x^3-151875\)		$[ ]$	$1$
24300.x2	24300z1	24300.x	24300z	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{8} \)	$0$	$\Z/3\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.1	3B.1.1				$1$	$1$		$2$	$24300$	$0.623748$	$0$		$3.04936$	$1$	$[0, 0, 0, 0, 5625]$	\(y^2=x^3+5625\)		$[ ]$	$1$
24300.y1	24300l1	24300.y	24300l	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{8} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.4	3B.1.2				$11.91350331$	$1$		$0$	$19440$	$0.671695$	$0$		$3.10633$	$1$	$[0, 0, 0, 0, -7500]$	\(y^2=x^3-7500\)		$[(93349/63, 18561257/63)]$	$1$
24300.y2	24300l2	24300.y	24300l	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{8} \)	$1$	$\Z/3\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.1	3B.1.1				$3.971167770$	$1$		$4$	$58320$	$1.221001$	$0$		$3.75909$	$1$	$[0, 0, 0, 0, 202500]$	\(y^2=x^3+202500\)		$[(189, 2637)]$	$1$
24300.z1	24300y2	24300.z	24300y	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 5^{4} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.4	3B.1.2				$1$	$9$	$3$	$0$	$32076$	$0.867623$	$0$		$3.33916$	$1$	$[0, 0, 0, 0, -24300]$	\(y^2=x^3-24300\)		$[ ]$	$1$
24300.z2	24300y1	24300.z	24300y	$2$	$3$	\( 2^{2} \cdot 3^{5} \cdot 5^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{4} \)	$0$	$\Z/3\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.1	3B.1.1				$1$	$1$		$2$	$10692$	$0.318317$	$0$		$2.68640$	$1$	$[0, 0, 0, 0, 900]$	\(y^2=x^3+900\)		$[ ]$	$1$

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