Elliptic curve search results

Results (28 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
5280.c2	5280m1	5280.c	5280m	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 11 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$0.687084643$	$1$		$7$	$512$	$-0.317057$	$1560896/2475$	$0.80500$	$2.21351$	$1$	$[0, -1, 0, 10, 12]$	\(y^2=x^3-x^2+10x+12\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(2, 6)]$	$1$
5280.t2	5280h1	5280.t	5280h	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 11 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$512$	$-0.317057$	$1560896/2475$	$0.80500$	$2.21351$	$1$	$[0, 1, 0, 10, -12]$	\(y^2=x^3+x^2+10x-12\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[ ]$	$1$
10560.p2	10560b2	10560.p	10560b	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1.674846678$	$1$		$5$	$2048$	$0.029516$	$1560896/2475$	$0.80500$	$2.49680$	$1$	$[0, -1, 0, 39, -135]$	\(y^2=x^3-x^2+39x-135\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(8, 25)]$	$1$
10560.bj2	10560w2	10560.bj	10560w	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1.414231289$	$1$		$5$	$2048$	$0.029516$	$1560896/2475$	$0.80500$	$2.49680$	$1$	$[0, 1, 0, 39, 135]$	\(y^2=x^3+x^2+39x+135\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(2, 15)]$	$1$
15840.d2	15840o1	15840.d	15840o	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11 \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$0.963755607$	$1$		$7$	$4096$	$0.232249$	$1560896/2475$	$0.80500$	$2.64368$	$1$	$[0, 0, 0, 87, -412]$	\(y^2=x^3+87x-412\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(13, 54)]$	$1$
15840.w2	15840u1	15840.w	15840u	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11 \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1.051103917$	$1$		$5$	$4096$	$0.232249$	$1560896/2475$	$0.80500$	$2.64368$	$1$	$[0, 0, 0, 87, 412]$	\(y^2=x^3+87x+412\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(-1, 18)]$	$1$
26400.b2	26400bm1	26400.b	26400bm	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1.193649088$	$1$		$5$	$12288$	$0.487662$	$1560896/2475$	$0.80500$	$2.81208$	$1$	$[0, -1, 0, 242, -1988]$	\(y^2=x^3-x^2+242x-1988\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(12, 50)]$	$1$
26400.ce2	26400r1	26400.ce	26400r	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$12288$	$0.487662$	$1560896/2475$	$0.80500$	$2.81208$	$1$	$[0, 1, 0, 242, 1988]$	\(y^2=x^3+x^2+242x+1988\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[ ]$	$1$
31680.ca2	31680bm2	31680.ca	31680bm	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1.708896526$	$1$		$5$	$16384$	$0.578822$	$1560896/2475$	$0.80500$	$2.86817$	$1$	$[0, 0, 0, 348, -3296]$	\(y^2=x^3+348x-3296\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(20, 108)]$	$1$
31680.ef2	31680bw2	31680.ef	31680bw	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$16384$	$0.578822$	$1560896/2475$	$0.80500$	$2.86817$	$1$	$[0, 0, 0, 348, 3296]$	\(y^2=x^3+348x+3296\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[ ]$	$1$
52800.dw2	52800bh2	52800.dw	52800bh	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$49152$	$0.834235$	$1560896/2475$	$0.80500$	$3.01529$	$1$	$[0, -1, 0, 967, 14937]$	\(y^2=x^3-x^2+967x+14937\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[ ]$	$1$
52800.dz2	52800cm2	52800.dz	52800cm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$49152$	$0.834235$	$1560896/2475$	$0.80500$	$3.01529$	$1$	$[0, 1, 0, 967, -14937]$	\(y^2=x^3+x^2+967x-14937\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[ ]$	$1$
58080.bb2	58080m1	58080.bb	58080m	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1.732722430$	$1$		$3$	$61440$	$0.881890$	$1560896/2475$	$0.80500$	$3.04122$	$1$	$[0, -1, 0, 1170, -20700]$	\(y^2=x^3-x^2+1170x-20700\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(235, 3630)]$	$1$
58080.br2	58080cg1	58080.br	58080cg	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$2.616576230$	$1$		$5$	$61440$	$0.881890$	$1560896/2475$	$0.80500$	$3.04122$	$1$	$[0, 1, 0, 1170, 20700]$	\(y^2=x^3+x^2+1170x+20700\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(-10, 90)]$	$1$
79200.f2	79200bf1	79200.f	79200bf	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{8} \cdot 11 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$2.123983392$	$1$		$15$	$98304$	$1.036968$	$1560896/2475$	$0.80500$	$3.12258$	$1$	$[0, 0, 0, 2175, 51500]$	\(y^2=x^3+2175x+51500\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(5, 250), (40, 450)]$	$1$
79200.em2	79200ef1	79200.em	79200ef	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{8} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$98304$	$1.036968$	$1560896/2475$	$0.80500$	$3.12258$	$1$	$[0, 0, 0, 2175, -51500]$	\(y^2=x^3+2175x-51500\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[ ]$	$1$
116160.e2	116160bc2	116160.e	116160bc	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 11^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$2.229603443$	$1$		$15$	$245760$	$1.228464$	$1560896/2475$	$0.80500$	$3.21707$	$1$	$[0, -1, 0, 4679, 160921]$	\(y^2=x^3-x^2+4679x+160921\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(15, 484), (181/2, 5445/2)]$	$1$
116160.gz2	116160do2	116160.gz	116160do	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$7.099764488$	$1$		$3$	$245760$	$1.228464$	$1560896/2475$	$0.80500$	$3.21707$	$1$	$[0, 1, 0, 4679, -160921]$	\(y^2=x^3+x^2+4679x-160921\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(2674, 138345)]$	$1$
158400.bi2	158400jz2	158400.bi	158400jz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1.575862878$	$1$		$5$	$393216$	$1.383541$	$1560896/2475$	$0.80500$	$3.28916$	$1$	$[0, 0, 0, 8700, 412000]$	\(y^2=x^3+8700x+412000\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(5, 675)]$	$1$
158400.nz2	158400nj2	158400.nz	158400nj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$393216$	$1.383541$	$1560896/2475$	$0.80500$	$3.28916$	$1$	$[0, 0, 0, 8700, -412000]$	\(y^2=x^3+8700x-412000\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[ ]$	$1$
174240.f2	174240dg1	174240.f	174240dg	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1.002561852$	$1$		$7$	$491520$	$1.431196$	$1560896/2475$	$0.80500$	$3.31057$	$1$	$[0, 0, 0, 10527, -548372]$	\(y^2=x^3+10527x-548372\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(99, 1210)]$	$1$
174240.ci2	174240bp1	174240.ci	174240bp	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$491520$	$1.431196$	$1560896/2475$	$0.80500$	$3.31057$	$1$	$[0, 0, 0, 10527, 548372]$	\(y^2=x^3+10527x+548372\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[ ]$	$1$
258720.bf2	258720bf1	258720.bf	258720bf	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1.734071392$	$1$		$5$	$147456$	$0.655898$	$1560896/2475$	$0.80500$	$2.45910$	$1$	$[0, -1, 0, 474, 5076]$	\(y^2=x^3-x^2+474x+5076\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(6, 90)]$	$1$
258720.dl2	258720dl1	258720.dl	258720dl	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$147456$	$0.655898$	$1560896/2475$	$0.80500$	$2.45910$	$1$	$[0, 1, 0, 474, -5076]$	\(y^2=x^3+x^2+474x-5076\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[ ]$	$1$
290400.dj2	290400dj1	290400.dj	290400dj	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$1474560$	$1.686609$	$1560896/2475$	$0.80500$	$3.41978$	$1$	$[0, -1, 0, 29242, 2529012]$	\(y^2=x^3-x^2+29242x+2529012\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[ ]$	$1$
290400.dz2	290400dz1	290400.dz	290400dz	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 11^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$4.294697308$	$1$		$11$	$1474560$	$1.686609$	$1560896/2475$	$0.80500$	$3.41978$	$1$	$[0, 1, 0, 29242, -2529012]$	\(y^2=x^3+x^2+29242x-2529012\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(84, 726), (148, 2250)]$	$1$
348480.jl2	348480jl2	348480.jl	348480jl	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$1966080$	$1.777769$	$1560896/2475$	$0.80500$	$3.45665$	$1$	$[0, 0, 0, 42108, -4386976]$	\(y^2=x^3+42108x-4386976\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[ ]$	$1$
348480.qz2	348480qz2	348480.qz	348480qz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$1966080$	$1.777769$	$1560896/2475$	$0.80500$	$3.45665$	$1$	$[0, 0, 0, 42108, 4386976]$	\(y^2=x^3+42108x+4386976\)	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[ ]$	$1$

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