Elliptic curve isogeny class with LMFDB label 374790.d (Cremona label 374790d)

• Label: 374790.d
• Number of curves: $1$
• Conductor: $374790$
• CM: no
• Rank: $1$

Rank

The elliptic curve 374790.d1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 + T\)
\(5\)	\(1 + T\)
\(13\)	\(1 - T\)
\(31\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 - 2 T + 23 T^{2}\)	1.23.ac
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 374790.d do not have complex multiplication.

Modular form 374790.2.a.d

Elliptic curves in class 374790.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
374790.d1	374790d1	\([1, 1, 0, -24326293, 58900204813]\)	\(-1793830388826762649/651164313664800\)	\(-577910725313348600128800\)	\([]\)	\(59136000\)	\(3.2700\)	\(\Gamma_0(N)\)-optimal