Elliptic curve isogeny class with Cremona label 3950i (LMFDB label 3950.i)

• Label: 3950i
• Number of curves: $1$
• Conductor: $3950$
• CM: no
• Rank: $1$

Rank

The elliptic curve 3950i1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(5\)	\(1\)
\(79\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - T + 3 T^{2}\)	1.3.ab
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + T + 17 T^{2}\)	1.17.b
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 3950i do not have complex multiplication.

Modular form 3950.2.a.i

Elliptic curves in class 3950i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3950.i1	3950i1	\([1, 0, 0, -27463, -1755383]\)	\(-3665123505412225/3272081408\)	\(-2045050880000\)	\([]\)	\(8664\)	\(1.2871\)	\(\Gamma_0(N)\)-optimal