Elliptic curve isogeny class with Cremona label 65025bl (LMFDB label 65025.bv)

• Label: 65025bl
• Number of curves: $1$
• Conductor: $65025$
• CM: no
• Rank: $0$

Rank

The elliptic curve 65025bl1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1\)
\(5\)	\(1\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T^{2}\)	1.2.a
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(19\)	\( 1 + 7 T + 19 T^{2}\)	1.19.h
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 + 3 T + 29 T^{2}\)	1.29.d
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 65025bl do not have complex multiplication.

Modular form 65025.2.a.bl

Elliptic curves in class 65025bl

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
65025.bv1	65025bl1	\([1, -1, 0, -2270727, -245466914]\)	\(35242105/19683\)	\(723182724752748981075\)	\([]\)	\(1850688\)	\(2.6928\)	\(\Gamma_0(N)\)-optimal