Elliptic curve isogeny class with Cremona label 76230v (LMFDB label 76230.b)

• Label: 76230v
• Number of curves: $1$
• Conductor: $76230$
• CM: no
• Rank: $1$

Rank

The elliptic curve 76230v1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(5\)	\(1 + T\)
\(7\)	\(1 - T\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 - 6 T + 17 T^{2}\)	1.17.ag
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 76230v do not have complex multiplication.

Modular form 76230.2.a.v

Elliptic curves in class 76230v

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
76230.b1	76230v1	\([1, -1, 0, -1383577245, -19808311785179]\)	\(-15491003951990952121/75014100000\)	\(-1418395298253406218900000\)	\([]\)	\(39916800\)	\(3.8348\)	\(\Gamma_0(N)\)-optimal