Elliptic curve search results

Results (10 matches)

 

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
27797.c2	27797g2	27797.c	27797g	$2$	$2$	\( 7 \cdot 11 \cdot 19^{2} \)	\( - 7^{4} \cdot 11^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$1.130589485$	$1$		$6$	$12800$	$0.466101$	$-22665187/290521$	$0.86201$	$2.82542$	$[1, 0, 0, -112, -2205]$	\(y^2+xy=x^3-112x-2205\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[(35, 175)]$
27797.f2	27797f2	27797.f	27797f	$2$	$2$	\( 7 \cdot 11 \cdot 19^{2} \)	\( - 7^{4} \cdot 11^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$9.573497055$	$1$		$0$	$243200$	$1.938320$	$-22665187/290521$	$0.86201$	$4.55191$	$[1, 1, 0, -40439, 15043220]$	\(y^2+xy=x^3+x^2-40439x+15043220\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[(7132/23, 46249652/23)]$
194579.c2	194579c2	194579.c	194579c	$2$	$2$	\( 7^{2} \cdot 11 \cdot 19^{2} \)	\( - 7^{10} \cdot 11^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$1.843147477$	$1$		$2$	$614400$	$1.439056$	$-22665187/290521$	$0.86201$	$3.33266$	$[1, 1, 1, -5489, 750826]$	\(y^2+xy+y=x^3+x^2-5489x+750826\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[(62, 777)]$
194579.p2	194579p2	194579.p	194579p	$2$	$2$	\( 7^{2} \cdot 11 \cdot 19^{2} \)	\( - 7^{10} \cdot 11^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$12.49509292$	$1$		$0$	$11673600$	$2.911274$	$-22665187/290521$	$0.86201$	$4.78329$	$[1, 0, 1, -1981537, -5165769045]$	\(y^2+xy+y=x^3-1981537x-5165769045\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[(4512881/37, 7784345913/37)]$
250173.g2	250173g2	250173.g	250173g	$2$	$2$	\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \)	\( - 3^{6} \cdot 7^{4} \cdot 11^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$3.627338654$	$1$		$4$	$5836800$	$2.487625$	$-22665187/290521$	$0.86201$	$4.27758$	$[1, -1, 1, -363956, -406530894]$	\(y^2+xy+y=x^3-x^2-363956x-406530894\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[(1076, 20598)]$
250173.bi2	250173bi2	250173.bi	250173bi	$2$	$2$	\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \)	\( - 3^{6} \cdot 7^{4} \cdot 11^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$1.245543264$	$1$		$4$	$307200$	$1.015408$	$-22665187/290521$	$0.86201$	$2.85628$	$[1, -1, 0, -1008, 59535]$	\(y^2+xy=x^3-x^2-1008x+59535\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[(-14, 273)]$
305767.d2	305767d2	305767.d	305767d	$2$	$2$	\( 7 \cdot 11^{2} \cdot 19^{2} \)	\( - 7^{4} \cdot 11^{8} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$1$	$1$		$0$	$29184000$	$3.137268$	$-22665187/290521$	$0.86201$	$4.82683$	$[1, 1, 1, -4893182, -20046991634]$	\(y^2+xy+y=x^3+x^2-4893182x-20046991634\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[]$
305767.o2	305767o2	305767.o	305767o	$2$	$2$	\( 7 \cdot 11^{2} \cdot 19^{2} \)	\( - 7^{4} \cdot 11^{8} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$1$	$1$		$0$	$1536000$	$1.665049$	$-22665187/290521$	$0.86201$	$3.42811$	$[1, 0, 1, -13555, 2921301]$	\(y^2+xy+y=x^3-13555x+2921301\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[]$
444752.k2	444752k2	444752.k	444752k	$2$	$2$	\( 2^{4} \cdot 7 \cdot 11 \cdot 19^{2} \)	\( - 2^{12} \cdot 7^{4} \cdot 11^{2} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$1$	$4$	$2$	$1$	$15564800$	$2.631466$	$-22665187/290521$	$0.86201$	$4.22106$	$[0, 1, 0, -647032, -964060140]$	\(y^2=x^3+x^2-647032x-964060140\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[]$
444752.ce2	444752ce2	444752.ce	444752ce	$2$	$2$	\( 2^{4} \cdot 7 \cdot 11 \cdot 19^{2} \)	\( - 2^{12} \cdot 7^{4} \cdot 11^{2} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$1$	$1$		$1$	$819200$	$1.159248$	$-22665187/290521$	$0.86201$	$2.86264$	$[0, -1, 0, -1792, 141120]$	\(y^2=x^3-x^2-1792x+141120\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[]$