Elliptic curve search results

Results (12 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
86240.h2	86240k1	86240.h	86240k	$2$	$2$	\( 2^{5} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 5^{4} \cdot 7^{3} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$1.058086543$	$1$		$5$	$73728$	$0.852605$	$3595640768/9150625$	$0.98524$	$2.92327$	$[0, 1, 0, 894, -18656]$	\(y^2=x^3+x^2+894x-18656\)	2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1	$[(104, 1100)]$
86240.j2	86240bw1	86240.j	86240bw	$2$	$2$	\( 2^{5} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 5^{4} \cdot 7^{9} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$1$	$1$		$1$	$516096$	$1.825560$	$3595640768/9150625$	$0.98524$	$3.95060$	$[0, 1, 0, 43790, -6486600]$	\(y^2=x^3+x^2+43790x-6486600\)	2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1	$[ ]$
86240.bp2	86240bb1	86240.bp	86240bb	$2$	$2$	\( 2^{5} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 5^{4} \cdot 7^{3} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$3.157589342$	$1$		$3$	$73728$	$0.852605$	$3595640768/9150625$	$0.98524$	$2.92327$	$[0, -1, 0, 894, 18656]$	\(y^2=x^3-x^2+894x+18656\)	2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1	$[(146, 1800)]$
86240.bv2	86240q1	86240.bv	86240q	$2$	$2$	\( 2^{5} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 5^{4} \cdot 7^{9} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$1$	$1$		$1$	$516096$	$1.825560$	$3595640768/9150625$	$0.98524$	$3.95060$	$[0, -1, 0, 43790, 6486600]$	\(y^2=x^3-x^2+43790x+6486600\)	2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1	$[ ]$
172480.p2	172480ex1	172480.p	172480ex	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 5^{4} \cdot 7^{9} \cdot 11^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$5.829951776$	$1$		$13$	$2064384$	$2.172134$	$3595640768/9150625$	$0.98524$	$4.06841$	$[0, 1, 0, 175159, 52067959]$	\(y^2=x^3+x^2+175159x+52067959\)	2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1	$[(114, 8575), (255, 10648)]$
172480.bf2	172480ee1	172480.bf	172480ee	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 5^{4} \cdot 7^{3} \cdot 11^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$0.619344616$	$1$		$27$	$294912$	$1.199179$	$3595640768/9150625$	$0.98524$	$3.10014$	$[0, 1, 0, 3575, 152823]$	\(y^2=x^3+x^2+3575x+152823\)	2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1	$[(11, 440), (66, 825)]$
172480.gr2	172480hn1	172480.gr	172480hn	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 5^{4} \cdot 7^{9} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$4.689515239$	$1$		$3$	$2064384$	$2.172134$	$3595640768/9150625$	$0.98524$	$4.06841$	$[0, -1, 0, 175159, -52067959]$	\(y^2=x^3-x^2+175159x-52067959\)	2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1	$[(328, 6369)]$
172480.gu2	172480hd1	172480.gu	172480hd	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 5^{4} \cdot 7^{3} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$2.009690356$	$1$		$3$	$294912$	$1.199179$	$3595640768/9150625$	$0.98524$	$3.10014$	$[0, -1, 0, 3575, -152823]$	\(y^2=x^3-x^2+3575x-152823\)	2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1	$[(159, 2100)]$
431200.n2	431200n1	431200.n	431200n	$2$	$2$	\( 2^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 5^{10} \cdot 7^{3} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$1$	$1$		$1$	$1769472$	$1.657324$	$3595640768/9150625$	$0.98524$	$3.30493$	$[0, 1, 0, 22342, 2376688]$	\(y^2=x^3+x^2+22342x+2376688\)	2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1	$[ ]$
431200.bh2	431200bh1	431200.bh	431200bh	$2$	$2$	\( 2^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 5^{10} \cdot 7^{9} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$1$	$1$		$1$	$12386304$	$2.630280$	$3595640768/9150625$	$0.98524$	$4.20482$	$[0, 1, 0, 1094742, 813014488]$	\(y^2=x^3+x^2+1094742x+813014488\)	2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1	$[ ]$
431200.eq2	431200eq1	431200.eq	431200eq	$2$	$2$	\( 2^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 5^{10} \cdot 7^{9} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$1$	$9$	$3$	$1$	$12386304$	$2.630280$	$3595640768/9150625$	$0.98524$	$4.20482$	$[0, -1, 0, 1094742, -813014488]$	\(y^2=x^3-x^2+1094742x-813014488\)	2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1	$[ ]$
431200.ex2	431200ex1	431200.ex	431200ex	$2$	$2$	\( 2^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{6} \cdot 5^{10} \cdot 7^{3} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$1$	$1$		$1$	$1769472$	$1.657324$	$3595640768/9150625$	$0.98524$	$3.30493$	$[0, -1, 0, 22342, -2376688]$	\(y^2=x^3-x^2+22342x-2376688\)	2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1	$[ ]$

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