Elliptic curve search results

Results (14 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
17760.f2	17760d2	17760.f	17760d	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{9} \cdot 3^{12} \cdot 5 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$4440$	$48$	$0$	$1$	$4$	$2$	$1$	$18432$	$0.818378$	$2351575819592/98316585$	$0.91120$	$3.54885$	$[0, -1, 0, -2216, -37944]$	\(y^2=x^3-x^2-2216x-37944\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[ ]$
17760.n2	17760m3	17760.n	17760m	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{9} \cdot 3^{12} \cdot 5 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$4440$	$48$	$0$	$0.738871794$	$1$		$7$	$18432$	$0.818378$	$2351575819592/98316585$	$0.91120$	$3.54885$	$[0, 1, 0, -2216, 37944]$	\(y^2=x^3+x^2-2216x+37944\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(22, 18)]$
35520.t1	35520bz4	35520.t	35520bz	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{15} \cdot 3^{12} \cdot 5 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$4440$	$48$	$0$	$4.155802986$	$1$		$3$	$73728$	$1.164951$	$2351575819592/98316585$	$0.91120$	$3.71100$	$[0, -1, 0, -8865, 312417]$	\(y^2=x^3-x^2-8865x+312417\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 120.24.0.?, $\ldots$	$[(127, 1104)]$
35520.de1	35520cx4	35520.de	35520cx	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{15} \cdot 3^{12} \cdot 5 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$4440$	$48$	$0$	$1$	$1$		$1$	$73728$	$1.164951$	$2351575819592/98316585$	$0.91120$	$3.71100$	$[0, 1, 0, -8865, -312417]$	\(y^2=x^3+x^2-8865x-312417\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.6, 120.24.0.?, $\ldots$	$[ ]$
53280.bf2	53280cc3	53280.bf	53280cc	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{9} \cdot 3^{18} \cdot 5 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$4440$	$48$	$0$	$6.154754480$	$1$		$3$	$147456$	$1.367685$	$2351575819592/98316585$	$0.91120$	$3.79628$	$[0, 0, 0, -19947, -1044434]$	\(y^2=x^3-19947x-1044434\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 444.12.0.?, $\ldots$	$[(390, 7106)]$
53280.ca2	53280cb3	53280.ca	53280cb	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{9} \cdot 3^{18} \cdot 5 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$4440$	$48$	$0$	$12.70751015$	$1$		$1$	$147456$	$1.367685$	$2351575819592/98316585$	$0.91120$	$3.79628$	$[0, 0, 0, -19947, 1044434]$	\(y^2=x^3-19947x+1044434\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 444.12.0.?, $\ldots$	$[(328225/42, 143946361/42)]$
88800.bg2	88800be3	88800.bg	88800be	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{9} \cdot 3^{12} \cdot 5^{7} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$4440$	$48$	$0$	$1$	$4$	$2$	$1$	$442368$	$1.623096$	$2351575819592/98316585$	$0.91120$	$3.89508$	$[0, -1, 0, -55408, 4853812]$	\(y^2=x^3-x^2-55408x+4853812\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 740.12.0.?, $\ldots$	$[ ]$
88800.bk2	88800cc3	88800.bk	88800cc	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{9} \cdot 3^{12} \cdot 5^{7} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$4440$	$48$	$0$	$3.030159991$	$1$		$3$	$442368$	$1.623096$	$2351575819592/98316585$	$0.91120$	$3.89508$	$[0, 1, 0, -55408, -4853812]$	\(y^2=x^3+x^2-55408x-4853812\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 120.24.0.?, 740.12.0.?, $\ldots$	$[(-121, 306)]$
106560.p1	106560en4	106560.p	106560en	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{15} \cdot 3^{18} \cdot 5 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$4440$	$48$	$0$	$5.062435105$	$1$		$3$	$589824$	$1.714258$	$2351575819592/98316585$	$0.91120$	$3.92823$	$[0, 0, 0, -79788, -8355472]$	\(y^2=x^3-79788x-8355472\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(-163, 565)]$
106560.dc1	106560el4	106560.dc	106560el	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{15} \cdot 3^{18} \cdot 5 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$4440$	$48$	$0$	$8.121862377$	$1$		$1$	$589824$	$1.714258$	$2351575819592/98316585$	$0.91120$	$3.92823$	$[0, 0, 0, -79788, 8355472]$	\(y^2=x^3-79788x+8355472\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[(6592/3, 499940/3)]$
177600.k1	177600dh4	177600.k	177600dh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{15} \cdot 3^{12} \cdot 5^{7} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$4440$	$48$	$0$	$5.568732651$	$1$		$3$	$1769472$	$1.969671$	$2351575819592/98316585$	$0.91120$	$4.01578$	$[0, -1, 0, -221633, -38608863]$	\(y^2=x^3-x^2-221633x-38608863\)	2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 888.24.0.?, 1480.24.0.?, $\ldots$	$[(-264, 1197)]$
177600.jd1	177600cd3	177600.jd	177600cd	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{15} \cdot 3^{12} \cdot 5^{7} \cdot 37 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$4440$	$48$	$0$	$1$	$1$		$3$	$1769472$	$1.969671$	$2351575819592/98316585$	$0.91120$	$4.01578$	$[0, 1, 0, -221633, 38608863]$	\(y^2=x^3+x^2-221633x+38608863\)	2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 888.24.0.?, 1480.24.0.?, $\ldots$	$[ ]$
266400.k2	266400k2	266400.k	266400k	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( 2^{9} \cdot 3^{18} \cdot 5^{7} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$4440$	$48$	$0$	$1$	$1$		$1$	$3538944$	$2.172405$	$2351575819592/98316585$	$0.91120$	$4.08018$	$[0, 0, 0, -498675, 130554250]$	\(y^2=x^3-498675x+130554250\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[ ]$
266400.et2	266400et4	266400.et	266400et	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( 2^{9} \cdot 3^{18} \cdot 5^{7} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$4440$	$48$	$0$	$1$	$1$		$1$	$3538944$	$2.172405$	$2351575819592/98316585$	$0.91120$	$4.08018$	$[0, 0, 0, -498675, -130554250]$	\(y^2=x^3-498675x-130554250\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[ ]$

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