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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 85176.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85176.bv1 | 85176cb1 | \([0, 0, 0, 72501, -1656538]\) | \(34606/21\) | \(-25575468252751872\) | \([]\) | \(499200\) | \(1.8376\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85176.bv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 85176.bv do not have complex multiplication.Modular form 85176.2.a.bv
sage: E.q_eigenform(10)