Elliptic curve isogeny class with Cremona label 29640g (LMFDB label 29640.s)

• Label: 29640g
• Number of curves: $1$
• Conductor: $29640$
• CM: no
• Rank: $1$

Rank

The elliptic curve 29640g1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(5\)	\(1 - T\)
\(13\)	\(1 + T\)
\(19\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(11\)	\( 1 - 4 T + 11 T^{2}\)	1.11.ae
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 29640g do not have complex multiplication.

Modular form 29640.2.a.g

Elliptic curves in class 29640g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
29640.s1	29640g1	\([0, 1, 0, -75389660, 251925710433]\)	\(-2961686524287311350789156096/139506818115234375\)	\(-2232109089843750000\)	\([]\)	\(2442240\)	\(2.9990\)	\(\Gamma_0(N)\)-optimal