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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 8400.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8400.bv1 | 8400cl1 | \([0, 1, 0, 42, 963]\) | \(1280/63\) | \(-393750000\) | \([]\) | \(2880\) | \(0.32900\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8400.bv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8400.bv do not have complex multiplication.Modular form 8400.2.a.bv
sage: E.q_eigenform(10)