Elliptic curves over $\Q$ of conductor 4102

Results (7 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
4102.a1	4102b1	4102.a	4102b	$2$	$3$	\( 2 \cdot 7 \cdot 293 \)	\( - 2^{5} \cdot 7^{4} \cdot 293^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$7032$	$16$	$0$	$2.103787649$	$1$		$4$	$24480$	$1.415295$	$-30198569235907907017/1932613457824$	$0.95850$	$5.39166$	$[1, 0, 1, -64877, 6355272]$	\(y^2+xy+y=x^3-64877x+6355272\)	3.8.0-3.a.1.2, 2344.2.0.?, 7032.16.0.?	$[(150, -9)]$
4102.a2	4102b2	4102.a	4102b	$2$	$3$	\( 2 \cdot 7 \cdot 293 \)	\( - 2^{15} \cdot 7^{12} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$7032$	$16$	$0$	$0.701262549$	$1$		$4$	$73440$	$1.964602$	$-12318868629733177/132890530607693824$	$1.03702$	$5.63551$	$[1, 0, 1, -4812, 17539082]$	\(y^2+xy+y=x^3-4812x+17539082\)	3.8.0-3.a.1.1, 2344.2.0.?, 7032.16.0.?	$[(380, 8213)]$
4102.b1	4102a1	4102.b	4102a	$1$	$1$	\( 2 \cdot 7 \cdot 293 \)	\( - 2^{4} \cdot 7^{3} \cdot 293 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$4102$	$2$	$0$	$0.242420254$	$1$		$16$	$768$	$-0.127950$	$167284151/1607984$	$0.81838$	$2.60639$	$[1, 1, 0, 12, 64]$	\(y^2+xy=x^3+x^2+12x+64\)	4102.2.0.?	$[(4, 12), (-5/2, 61/2)]$
4102.c1	4102f1	4102.c	4102f	$1$	$1$	\( 2 \cdot 7 \cdot 293 \)	\( - 2^{13} \cdot 7^{4} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2344$	$2$	$0$	$0.048991332$	$1$		$14$	$3744$	$0.594408$	$-27262747722673/5763014656$	$0.88386$	$3.75610$	$[1, 0, 0, -627, 7009]$	\(y^2+xy=x^3-627x+7009\)	2344.2.0.?	$[(-18, 121)]$
4102.d1	4102c1	4102.d	4102c	$1$	$1$	\( 2 \cdot 7 \cdot 293 \)	\( - 2 \cdot 7^{4} \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2344$	$2$	$0$	$1$	$1$		$0$	$672$	$-0.105863$	$-4750104241/1406986$	$0.92712$	$2.72799$	$[1, 0, 0, -35, -101]$	\(y^2+xy=x^3-35x-101\)	2344.2.0.?	$[]$
4102.e1	4102d1	4102.e	4102d	$1$	$1$	\( 2 \cdot 7 \cdot 293 \)	\( - 2^{16} \cdot 7 \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$4102$	$2$	$0$	$0.371481831$	$1$		$6$	$1024$	$0.243663$	$-23912763841/134414336$	$0.93417$	$3.15764$	$[1, 1, 1, -60, -611]$	\(y^2+xy+y=x^3+x^2-60x-611\)	4102.2.0.?	$[(13, 25)]$
4102.f1	4102e1	4102.f	4102e	$1$	$1$	\( 2 \cdot 7 \cdot 293 \)	\( - 2^{11} \cdot 7^{2} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2344$	$2$	$0$	$0.180784927$	$1$		$6$	$1232$	$0.120756$	$35255286639/29403136$	$0.85929$	$2.91925$	$[1, -1, 1, 68, 127]$	\(y^2+xy+y=x^3-x^2+68x+127\)	2344.2.0.?	$[(1, 13)]$