Elliptic curves over $\Q$ of conductor 762

Results (9 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
762.a1	762c1	762.a	762c	$1$	$1$	\( 2 \cdot 3 \cdot 127 \)	\( 2 \cdot 3^{4} \cdot 127 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1016$	$2$	$0$	$0.164008264$	$1$		$6$	$96$	$-0.458289$	$95443993/20574$	$0.84616$	$2.76887$	$[1, 0, 1, -10, -10]$	\(y^2+xy+y=x^3-10x-10\)	1016.2.0.?	$[(-2, 2)]$
762.b1	762a1	762.b	762a	$1$	$1$	\( 2 \cdot 3 \cdot 127 \)	\( - 2^{5} \cdot 3 \cdot 127 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$3048$	$2$	$0$	$1$	$1$		$0$	$60$	$-0.514950$	$-18609625/12192$	$0.83459$	$2.63659$	$[1, 0, 1, -6, -8]$	\(y^2+xy+y=x^3-6x-8\)	3048.2.0.?	$[]$
762.c1	762b1	762.c	762b	$1$	$1$	\( 2 \cdot 3 \cdot 127 \)	\( 2^{35} \cdot 3^{4} \cdot 127 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1016$	$2$	$0$	$1$	$1$		$0$	$3360$	$1.481035$	$610821169848399817/353458628591616$	$1.13753$	$6.17148$	$[1, 0, 1, -17677, -9208]$	\(y^2+xy+y=x^3-17677x-9208\)	1016.2.0.?	$[]$
762.d1	762d1	762.d	762d	$1$	$1$	\( 2 \cdot 3 \cdot 127 \)	\( 2^{5} \cdot 3^{2} \cdot 127 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1016$	$2$	$0$	$0.070116127$	$1$		$10$	$80$	$-0.353918$	$1027243729/36576$	$0.86835$	$3.12693$	$[1, 1, 1, -21, 27]$	\(y^2+xy+y=x^3+x^2-21x+27\)	1016.2.0.?	$[(1, 2)]$
762.e1	762e1	762.e	762e	$1$	$1$	\( 2 \cdot 3 \cdot 127 \)	\( 2^{11} \cdot 3^{6} \cdot 127 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1016$	$2$	$0$	$0.025392085$	$1$		$18$	$528$	$0.327971$	$2105518942513/189609984$	$0.93966$	$4.27604$	$[1, 0, 0, -267, 1521]$	\(y^2+xy=x^3-267x+1521\)	1016.2.0.?	$[(6, 9)]$
762.f1	762g2	762.f	762g	$2$	$7$	\( 2 \cdot 3 \cdot 127 \)	\( 2^{3} \cdot 3^{2} \cdot 127^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$7112$	$96$	$2$	$1$	$1$		$0$	$25872$	$2.686474$	$1236526859255318155975783969/38367061931916216$	$1.06416$	$9.40063$	$[1, 0, 0, -22361106, -40701264948]$	\(y^2+xy=x^3-22361106x-40701264948\)	7.48.0-7.a.2.2, 1016.2.0.?, 7112.96.2.?	$[]$
762.f2	762g1	762.f	762g	$2$	$7$	\( 2 \cdot 3 \cdot 127 \)	\( 2^{21} \cdot 3^{14} \cdot 127 \)	$0$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$7112$	$96$	$2$	$1$	$1$		$6$	$3696$	$1.713518$	$117174888570509216929/1273887851544576$	$1.02382$	$6.96362$	$[1, 0, 0, -101946, 12401892]$	\(y^2+xy=x^3-101946x+12401892\)	7.48.0-7.a.1.2, 1016.2.0.?, 7112.96.2.?	$[]$
762.g1	762f2	762.g	762f	$2$	$3$	\( 2 \cdot 3 \cdot 127 \)	\( - 2 \cdot 3^{3} \cdot 127^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$3048$	$16$	$0$	$1$	$1$		$0$	$540$	$0.629396$	$-2920834212558625/110612682$	$0.98070$	$5.36633$	$[1, 0, 0, -2978, -62802]$	\(y^2+xy=x^3-2978x-62802\)	3.8.0-3.a.1.1, 3048.16.0.?	$[]$
762.g2	762f1	762.g	762f	$2$	$3$	\( 2 \cdot 3 \cdot 127 \)	\( - 2^{3} \cdot 3^{9} \cdot 127 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$3048$	$16$	$0$	$1$	$1$		$2$	$180$	$0.080090$	$-57066625/19997928$	$0.98158$	$3.65698$	$[1, 0, 0, -8, -216]$	\(y^2+xy=x^3-8x-216\)	3.8.0-3.a.1.2, 3048.16.0.?	$[]$