Elliptic curve isogeny class with LMFDB label 31200.be (Cremona label 31200bi)

• Label: 31200.be
• Number of curves: $1$
• Conductor: $31200$
• CM: no
• Rank: $0$

Rank

The elliptic curve 31200.be1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(5\)	\(1\)
\(13\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 5 T + 7 T^{2}\)	1.7.af
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(19\)	\( 1 - 6 T + 19 T^{2}\)	1.19.ag
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 - 4 T + 29 T^{2}\)	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 31200.be do not have complex multiplication.

Modular form 31200.2.a.be

Elliptic curves in class 31200.be

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
31200.be1	31200bi1	\([0, -1, 0, 467, 26437]\)	\(175616/4875\)	\(-312000000000\)	\([]\)	\(46080\)	\(0.88562\)	\(\Gamma_0(N)\)-optimal