Elliptic curve search results

Results (18 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
23800.b1	23800d1	23800.b	23800d	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{4} \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1.162919365$	$1$		$10$	$3648$	$-0.184617$	$-160000/2023$	$0.80201$	$2.09411$	$[0, 1, 0, -8, -47]$	\(y^2=x^3+x^2-8x-47\)	14.2.0.a.1	$[(7, 17), (24, 119)]$
23800.l1	23800k1	23800.l	23800k	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{4} \cdot 5^{8} \cdot 7 \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$18240$	$0.620102$	$-160000/2023$	$0.80201$	$3.05235$	$[0, -1, 0, -208, -5463]$	\(y^2=x^3-x^2-208x-5463\)	14.2.0.a.1	$[ ]$
47600.g1	47600m1	47600.g	47600m	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{4} \cdot 5^{8} \cdot 7 \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$36480$	$0.620102$	$-160000/2023$	$0.80201$	$2.85592$	$[0, 1, 0, -208, 5463]$	\(y^2=x^3+x^2-208x+5463\)	14.2.0.a.1	$[ ]$
47600.bm1	47600b1	47600.bm	47600b	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{4} \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1.837866020$	$1$		$0$	$7296$	$-0.184617$	$-160000/2023$	$0.80201$	$1.95934$	$[0, -1, 0, -8, 47]$	\(y^2=x^3-x^2-8x+47\)	14.2.0.a.1	$[(-11/2, 51/2)]$
166600.f1	166600b1	166600.f	166600b	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 5^{8} \cdot 7^{7} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.423371665$	$1$		$16$	$875520$	$1.593058$	$-160000/2023$	$0.80201$	$3.52941$	$[0, 1, 0, -10208, 1894213]$	\(y^2=x^3+x^2-10208x+1894213\)	14.2.0.a.1	$[(58, 1225), (-138, 833)]$
166600.bh1	166600bl1	166600.bh	166600bl	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{7} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1.505204506$	$1$		$2$	$175104$	$0.788338$	$-160000/2023$	$0.80201$	$2.72626$	$[0, -1, 0, -408, 15317]$	\(y^2=x^3-x^2-408x+15317\)	14.2.0.a.1	$[(26, 147)]$
190400.f1	190400l1	190400.f	190400l	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{10} \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$2.473213620$	$1$		$6$	$58368$	$0.161957$	$-160000/2023$	$0.80201$	$2.07801$	$[0, 1, 0, -33, 343]$	\(y^2=x^3+x^2-33x+343\)	14.2.0.a.1	$[(2, 17), (-6, 19)]$
190400.s1	190400cn1	190400.s	190400cn	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{10} \cdot 5^{8} \cdot 7 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$2.281500570$	$1$		$2$	$291840$	$0.966676$	$-160000/2023$	$0.80201$	$2.87235$	$[0, 1, 0, -833, -44537]$	\(y^2=x^3+x^2-833x-44537\)	14.2.0.a.1	$[(58, 325)]$
190400.ec1	190400bv1	190400.ec	190400bv	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{10} \cdot 5^{8} \cdot 7 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1.912231862$	$1$		$2$	$291840$	$0.966676$	$-160000/2023$	$0.80201$	$2.87235$	$[0, -1, 0, -833, 44537]$	\(y^2=x^3-x^2-833x+44537\)	14.2.0.a.1	$[(-8, 225)]$
190400.er1	190400er1	190400.er	190400er	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{10} \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$4$	$2$	$0$	$58368$	$0.161957$	$-160000/2023$	$0.80201$	$2.07801$	$[0, -1, 0, -33, -343]$	\(y^2=x^3-x^2-33x-343\)	14.2.0.a.1	$[ ]$
214200.cc1	214200dg1	214200.cc	214200dg	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.594791383$	$1$		$4$	$437760$	$1.169409$	$-160000/2023$	$0.80201$	$3.04298$	$[0, 0, 0, -1875, 149375]$	\(y^2=x^3-1875x+149375\)	14.2.0.a.1	$[(-25, 425)]$
214200.ev1	214200bk1	214200.ev	214200bk	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.703913891$	$1$		$4$	$87552$	$0.364689$	$-160000/2023$	$0.80201$	$2.25627$	$[0, 0, 0, -75, 1195]$	\(y^2=x^3-75x+1195\)	14.2.0.a.1	$[(29, 153)]$
333200.bf1	333200bf1	333200.bf	333200bf	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{7} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1.578167642$	$1$		$2$	$350208$	$0.788338$	$-160000/2023$	$0.80201$	$2.57765$	$[0, 1, 0, -408, -15317]$	\(y^2=x^3+x^2-408x-15317\)	14.2.0.a.1	$[(37, 147)]$
333200.gk1	333200gk1	333200.gk	333200gk	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 5^{8} \cdot 7^{7} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$4.714429526$	$1$		$0$	$1751040$	$1.593058$	$-160000/2023$	$0.80201$	$3.33703$	$[0, -1, 0, -10208, -1894213]$	\(y^2=x^3-x^2-10208x-1894213\)	14.2.0.a.1	$[(2497/4, 34425/4)]$
404600.l1	404600l1	404600.l	404600l	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{4} \cdot 5^{8} \cdot 7 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$5253120$	$2.036709$	$-160000/2023$	$0.80201$	$3.69921$	$[0, 1, 0, -60208, -27200787]$	\(y^2=x^3+x^2-60208x-27200787\)	14.2.0.a.1	$[ ]$
404600.bq1	404600bq1	404600.bq	404600bq	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{4} \cdot 5^{2} \cdot 7 \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$9.229647393$	$1$		$0$	$1050624$	$1.231989$	$-160000/2023$	$0.80201$	$2.95125$	$[0, -1, 0, -2408, -216643]$	\(y^2=x^3-x^2-2408x-216643\)	14.2.0.a.1	$[(9166/11, 230157/11)]$
428400.l1	428400l1	428400.l	428400l	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$2.361455919$	$1$		$2$	$175104$	$0.364689$	$-160000/2023$	$0.80201$	$2.13567$	$[0, 0, 0, -75, -1195]$	\(y^2=x^3-75x-1195\)	14.2.0.a.1	$[(124, 1377)]$
428400.ic1	428400ic1	428400.ic	428400ic	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7 \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$875520$	$1.169409$	$-160000/2023$	$0.80201$	$2.88033$	$[0, 0, 0, -1875, -149375]$	\(y^2=x^3-1875x-149375\)	14.2.0.a.1	$[ ]$

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