Elliptic curve isogeny class with Cremona label 135200bv (LMFDB label 135200.dm)

• Label: 135200bv
• Number of curves: $1$
• Conductor: $135200$
• CM: no
• Rank: $1$

Rank

The elliptic curve 135200bv1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(17\)	\( 1 - 8 T + 17 T^{2}\)	1.17.ai
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 + 10 T + 29 T^{2}\)	1.29.k
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 135200bv do not have complex multiplication.

Modular form 135200.2.a.bv

Elliptic curves in class 135200bv

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
135200.dm1	135200bv1	\([0, 0, 0, -384475, -92823250]\)	\(-74088\)	\(-84835994984000000\)	\([]\)	\(2426112\)	\(2.0556\)	\(\Gamma_0(N)\)-optimal