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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 101400.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101400.bv1 | 101400dj1 | \([0, 1, 0, -1459033, -678830437]\) | \(-17790954496/195\) | \(-3764911020000000\) | \([]\) | \(1935360\) | \(2.1429\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101400.bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 101400.bv do not have complex multiplication.Modular form 101400.2.a.bv
sage: E.q_eigenform(10)