Elliptic curve isogeny class with LMFDB label 371649.d (Cremona label 371649d)

• Label: 371649.d
• Number of curves: $1$
• Conductor: $371649$
• CM: no
• Rank: $1$

Rank

The elliptic curve 371649.d1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1 - T\)
\(43\)	\(1\)
\(67\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 - 2 T + 2 T^{2}\)	1.2.ac
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 + 6 T + 11 T^{2}\)	1.11.g
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 + T + 23 T^{2}\)	1.23.b
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 371649.d do not have complex multiplication.

Modular form 371649.2.a.d

Elliptic curves in class 371649.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
371649.d1	371649d1	\([0, 1, 1, 3082, -65965]\)	\(512000/603\)	\(-3811781918547\)	\([]\)	\(957600\)	\(1.1004\)	\(\Gamma_0(N)\)-optimal