Elliptic curve isogeny class with LMFDB label 98800.bv (Cremona label 98800q)

• Label: 98800.bv
• Number of curves: $1$
• Conductor: $98800$
• CM: no
• Rank: $1$

Rank

The elliptic curve 98800.bv1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(13\)	\(1 - T\)
\(19\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 - 6 T + 11 T^{2}\)	1.11.ag
\(17\)	\( 1 + T + 17 T^{2}\)	1.17.b
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 98800.bv do not have complex multiplication.

Modular form 98800.2.a.bv

Elliptic curves in class 98800.bv

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
98800.bv1	98800q1	\([0, 0, 0, 25, -375]\)	\(6912/247\)	\(-61750000\)	\([]\)	\(20480\)	\(0.17480\)	\(\Gamma_0(N)\)-optimal