Elliptic curve search results

Results (8 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
15134.m1	15134p1	15134.m	15134p	$1$	$1$	\( 2 \cdot 7 \cdot 23 \cdot 47 \)	\( 2^{20} \cdot 7^{7} \cdot 23 \cdot 47^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$30268$	$2$	$0$	$0.043183386$	$1$		$12$	$423360$	$2.343235$	$267635230617574617998257/2062089938478825472$	$0.96900$	$5.60474$	$[1, 1, 1, -1342579, 594208305]$	\(y^2+xy+y=x^3+x^2-1342579x+594208305\)	30268.2.0.?	$[(-369, 32426)]$
105938.w1	105938z1	105938.w	105938z	$1$	$1$	\( 2 \cdot 7^{2} \cdot 23 \cdot 47 \)	\( 2^{20} \cdot 7^{13} \cdot 23 \cdot 47^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30268$	$2$	$0$	$1$	$1$		$0$	$20321280$	$3.316189$	$267635230617574617998257/2062089938478825472$	$0.96900$	$5.67121$	$[1, 0, 0, -65786372, -204010807792]$	\(y^2+xy=x^3-65786372x-204010807792\)	30268.2.0.?	$[]$
121072.o1	121072b1	121072.o	121072b	$1$	$1$	\( 2^{4} \cdot 7 \cdot 23 \cdot 47 \)	\( 2^{32} \cdot 7^{7} \cdot 23 \cdot 47^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30268$	$2$	$0$	$1$	$9$	$3$	$0$	$10160640$	$3.036381$	$267635230617574617998257/2062089938478825472$	$0.96900$	$5.31963$	$[0, 1, 0, -21481264, -38072294060]$	\(y^2=x^3+x^2-21481264x-38072294060\)	30268.2.0.?	$[]$
136206.i1	136206y1	136206.i	136206y	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 47 \)	\( 2^{20} \cdot 3^{6} \cdot 7^{7} \cdot 23 \cdot 47^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30268$	$2$	$0$	$6.188915083$	$1$		$2$	$12700800$	$2.892540$	$267635230617574617998257/2062089938478825472$	$0.96900$	$5.12062$	$[1, -1, 0, -12083211, -16055707451]$	\(y^2+xy=x^3-x^2-12083211x-16055707451\)	30268.2.0.?	$[(13590, 1519477)]$
348082.v1	348082v1	348082.v	348082v	$1$	$1$	\( 2 \cdot 7 \cdot 23^{2} \cdot 47 \)	\( 2^{20} \cdot 7^{7} \cdot 23^{7} \cdot 47^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30268$	$2$	$0$	$1$	$1$		$0$	$223534080$	$3.910984$	$267635230617574617998257/2062089938478825472$	$0.96900$	$5.70186$	$[1, 1, 1, -710224302, -7236834692117]$	\(y^2+xy+y=x^3+x^2-710224302x-7236834692117\)	30268.2.0.?	$[]$
378350.r1	378350r1	378350.r	378350r	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \cdot 47 \)	\( 2^{20} \cdot 5^{6} \cdot 7^{7} \cdot 23 \cdot 47^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30268$	$2$	$0$	$7.646784597$	$1$		$2$	$54190080$	$3.147953$	$267635230617574617998257/2062089938478825472$	$0.96900$	$4.95193$	$[1, 0, 1, -33564476, 74343167098]$	\(y^2+xy+y=x^3-33564476x+74343167098\)	30268.2.0.?	$[(3118, 567)]$
484288.w1	484288w1	484288.w	484288w	$1$	$1$	\( 2^{6} \cdot 7 \cdot 23 \cdot 47 \)	\( 2^{38} \cdot 7^{7} \cdot 23 \cdot 47^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30268$	$2$	$0$	$1$	$25$	$5$	$0$	$81285120$	$3.382957$	$267635230617574617998257/2062089938478825472$	$0.96900$	$5.07398$	$[0, -1, 0, -85925057, -304492427423]$	\(y^2=x^3-x^2-85925057x-304492427423\)	30268.2.0.?	$[]$
484288.ca1	484288ca1	484288.ca	484288ca	$1$	$1$	\( 2^{6} \cdot 7 \cdot 23 \cdot 47 \)	\( 2^{38} \cdot 7^{7} \cdot 23 \cdot 47^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30268$	$2$	$0$	$1$	$1$		$0$	$81285120$	$3.382957$	$267635230617574617998257/2062089938478825472$	$0.96900$	$5.07398$	$[0, 1, 0, -85925057, 304492427423]$	\(y^2=x^3+x^2-85925057x+304492427423\)	30268.2.0.?	$[]$