Elliptic curve isogeny class with LMFDB label 3780.b (Cremona label 3780e)

• Label: 3780.b
• Number of curves: $1$
• Conductor: $3780$
• CM: no
• Rank: $1$

Rank

The elliptic curve 3780.b1 has rank \(1\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(13\)	\( 1 + 13 T^{2}\)	1.13.a
\(17\)	\( 1 - 5 T + 17 T^{2}\)	1.17.af
\(19\)	\( 1 + 3 T + 19 T^{2}\)	1.19.d
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 3780.b do not have complex multiplication.

Modular form 3780.2.a.b

Isogeny graph

Elliptic curves in class 3780.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3780.b1	3780e1	\([0, 0, 0, 2727, 49653]\)	\(7121440512/7503125\)	\(-2362944150000\)	\([]\)	\(4320\)	\(1.0610\)	\(\Gamma_0(N)\)-optimal