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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 344760.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344760.bv1 | 344760bv1 | \([0, 1, 0, -1616, -25440]\) | \(1349273042/6885\) | \(2382981120\) | \([]\) | \(175104\) | \(0.64556\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760.bv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 344760.bv do not have complex multiplication.Modular form 344760.2.a.bv
sage: E.q_eigenform(10)