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.c1	5280m2	5280.c	5280m	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 11 \)	\( 2^{12} \cdot 3 \cdot 5 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1.374169287$	$1$		$5$	$1024$	$0.029516$	$7529536/1815$	$0.92514$	$2.81766$	$1$	$[0, -1, 0, -65, 177]$	\(y^2=x^3-x^2-65x+177\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(7, 4)]$	$1$
5280.t1	5280h2	5280.t	5280h	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 11 \)	\( 2^{12} \cdot 3 \cdot 5 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$1024$	$0.029516$	$7529536/1815$	$0.92514$	$2.81766$	$1$	$[0, 1, 0, -65, -177]$	\(y^2=x^3+x^2-65x-177\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[ ]$	$1$
10560.p1	10560b1	10560.p	10560b	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \)	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$3.349693357$	$1$		$1$	$1024$	$-0.317057$	$7529536/1815$	$0.92514$	$2.15797$	$1$	$[0, -1, 0, -16, -14]$	\(y^2=x^3-x^2-16x-14\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(21/2, 35/2)]$	$1$
10560.bj1	10560w1	10560.bj	10560w	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \)	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$2.828462579$	$1$		$1$	$1024$	$-0.317057$	$7529536/1815$	$0.92514$	$2.15797$	$1$	$[0, 1, 0, -16, 14]$	\(y^2=x^3+x^2-16x+14\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(13/2, 21/2)]$	$1$
15840.d1	15840o2	15840.d	15840o	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11 \)	\( 2^{12} \cdot 3^{7} \cdot 5 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$0.481877803$	$1$		$9$	$8192$	$0.578822$	$7529536/1815$	$0.92514$	$3.17920$	$1$	$[0, 0, 0, -588, -4192]$	\(y^2=x^3-588x-4192\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(-14, 36)]$	$1$
15840.w1	15840u2	15840.w	15840u	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11 \)	\( 2^{12} \cdot 3^{7} \cdot 5 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$2.102207834$	$1$		$5$	$8192$	$0.578822$	$7529536/1815$	$0.92514$	$3.17920$	$1$	$[0, 0, 0, -588, 4192]$	\(y^2=x^3-588x+4192\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(-3, 77)]$	$1$
26400.b1	26400bm2	26400.b	26400bm	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{12} \cdot 3 \cdot 5^{7} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$2.387298176$	$1$		$5$	$24576$	$0.834235$	$7529536/1815$	$0.92514$	$3.32073$	$1$	$[0, -1, 0, -1633, -18863]$	\(y^2=x^3-x^2-1633x-18863\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(-24, 77)]$	$1$
26400.ce1	26400r2	26400.ce	26400r	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{12} \cdot 3 \cdot 5^{7} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$24576$	$0.834235$	$7529536/1815$	$0.92514$	$3.32073$	$1$	$[0, 1, 0, -1633, 18863]$	\(y^2=x^3+x^2-1633x+18863\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[ ]$	$1$
31680.ca1	31680bm1	31680.ca	31680bm	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \)	\( 2^{6} \cdot 3^{7} \cdot 5 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$3.417793053$	$1$		$1$	$8192$	$0.232249$	$7529536/1815$	$0.92514$	$2.56526$	$1$	$[0, 0, 0, -147, -524]$	\(y^2=x^3-147x-524\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(65/2, 297/2)]$	$1$
31680.ef1	31680bw1	31680.ef	31680bw	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \)	\( 2^{6} \cdot 3^{7} \cdot 5 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$8192$	$0.232249$	$7529536/1815$	$0.92514$	$2.56526$	$1$	$[0, 0, 0, -147, 524]$	\(y^2=x^3-147x+524\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[ ]$	$1$
52800.dw1	52800bh1	52800.dw	52800bh	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{6} \cdot 3 \cdot 5^{7} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$24576$	$0.487662$	$7529536/1815$	$0.92514$	$2.72661$	$1$	$[0, -1, 0, -408, 2562]$	\(y^2=x^3-x^2-408x+2562\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[ ]$	$1$
52800.dz1	52800cm1	52800.dz	52800cm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{6} \cdot 3 \cdot 5^{7} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$24576$	$0.487662$	$7529536/1815$	$0.92514$	$2.72661$	$1$	$[0, 1, 0, -408, -2562]$	\(y^2=x^3+x^2-408x-2562\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[ ]$	$1$
58080.bb1	58080m2	58080.bb	58080m	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{12} \cdot 3 \cdot 5 \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$3.465444860$	$1$		$1$	$122880$	$1.228464$	$7529536/1815$	$0.92514$	$3.51331$	$1$	$[0, -1, 0, -7905, -204015]$	\(y^2=x^3-x^2-7905x-204015\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(973/2, 27951/2)]$	$1$
58080.br1	58080cg2	58080.br	58080cg	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{12} \cdot 3 \cdot 5 \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$5.233152461$	$1$		$3$	$122880$	$1.228464$	$7529536/1815$	$0.92514$	$3.51331$	$1$	$[0, 1, 0, -7905, 204015]$	\(y^2=x^3+x^2-7905x+204015\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(353, 6444)]$	$1$
79200.f1	79200bf2	79200.f	79200bf	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{12} \cdot 3^{7} \cdot 5^{7} \cdot 11^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$0.530995848$	$1$		$31$	$196608$	$1.383541$	$7529536/1815$	$0.92514$	$3.58168$	$1$	$[0, 0, 0, -14700, 524000]$	\(y^2=x^3-14700x+524000\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(130, 900), (-20, 900)]$	$1$
79200.em1	79200ef2	79200.em	79200ef	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{12} \cdot 3^{7} \cdot 5^{7} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$196608$	$1.383541$	$7529536/1815$	$0.92514$	$3.58168$	$1$	$[0, 0, 0, -14700, -524000]$	\(y^2=x^3-14700x-524000\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[ ]$	$1$
116160.e1	116160bc1	116160.e	116160bc	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$8.918413772$	$1$		$3$	$122880$	$0.881890$	$7529536/1815$	$0.92514$	$2.94790$	$1$	$[0, -1, 0, -1976, 26490]$	\(y^2=x^3-x^2-1976x+26490\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(-29, 242), (-1209/5, 10164/5)]$	$1$
116160.gz1	116160do1	116160.gz	116160do	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$14.19952897$	$1$		$1$	$122880$	$0.881890$	$7529536/1815$	$0.92514$	$2.94790$	$1$	$[0, 1, 0, -1976, -26490]$	\(y^2=x^3+x^2-1976x-26490\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(1415469/46, 1681496859/46)]$	$1$
158400.bi1	158400jz1	158400.bi	158400jz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{6} \cdot 3^{7} \cdot 5^{7} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$3.151725757$	$1$		$3$	$196608$	$1.036968$	$7529536/1815$	$0.92514$	$3.02697$	$1$	$[0, 0, 0, -3675, 65500]$	\(y^2=x^3-3675x+65500\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(-24, 374)]$	$1$
158400.nz1	158400nj1	158400.nz	158400nj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{6} \cdot 3^{7} \cdot 5^{7} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$196608$	$1.036968$	$7529536/1815$	$0.92514$	$3.02697$	$1$	$[0, 0, 0, -3675, -65500]$	\(y^2=x^3-3675x-65500\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[ ]$	$1$
174240.f1	174240dg2	174240.f	174240dg	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{12} \cdot 3^{7} \cdot 5 \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$2.005123704$	$1$		$5$	$983040$	$1.777769$	$7529536/1815$	$0.92514$	$3.73968$	$1$	$[0, 0, 0, -71148, -5579552]$	\(y^2=x^3-71148x-5579552\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(396, 5324)]$	$1$
174240.ci1	174240bp2	174240.ci	174240bp	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{12} \cdot 3^{7} \cdot 5 \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$983040$	$1.777769$	$7529536/1815$	$0.92514$	$3.73968$	$1$	$[0, 0, 0, -71148, 5579552]$	\(y^2=x^3-71148x+5579552\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[ ]$	$1$
258720.bf1	258720bf2	258720.bf	258720bf	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{12} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$0.867035696$	$1$		$7$	$294912$	$1.002472$	$7529536/1815$	$0.92514$	$2.87460$	$1$	$[0, -1, 0, -3201, 54321]$	\(y^2=x^3-x^2-3201x+54321\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(5, 196)]$	$1$
258720.dl1	258720dl2	258720.dl	258720dl	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{12} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$294912$	$1.002472$	$7529536/1815$	$0.92514$	$2.87460$	$1$	$[0, 1, 0, -3201, -54321]$	\(y^2=x^3+x^2-3201x-54321\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[ ]$	$1$
290400.dj1	290400dj2	290400.dj	290400dj	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{12} \cdot 3 \cdot 5^{7} \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$2949120$	$2.033184$	$7529536/1815$	$0.92514$	$3.83147$	$1$	$[0, -1, 0, -197633, 25897137]$	\(y^2=x^3-x^2-197633x+25897137\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[ ]$	$1$
290400.dz1	290400dz2	290400.dz	290400dz	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{12} \cdot 3 \cdot 5^{7} \cdot 11^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$17.17878923$	$1$		$5$	$2949120$	$2.033184$	$7529536/1815$	$0.92514$	$3.83147$	$1$	$[0, 1, 0, -197633, -25897137]$	\(y^2=x^3+x^2-197633x-25897137\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(4209, 271524), (753, 15900)]$	$1$
348480.jl1	348480jl1	348480.jl	348480jl	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{6} \cdot 3^{7} \cdot 5 \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$983040$	$1.431196$	$7529536/1815$	$0.92514$	$3.21066$	$1$	$[0, 0, 0, -17787, -697444]$	\(y^2=x^3-17787x-697444\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[ ]$	$1$
348480.qz1	348480qz1	348480.qz	348480qz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{6} \cdot 3^{7} \cdot 5 \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$4$	$2$	$1$	$983040$	$1.431196$	$7529536/1815$	$0.92514$	$3.21066$	$1$	$[0, 0, 0, -17787, 697444]$	\(y^2=x^3-17787x+697444\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[ ]$	$1$

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