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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 75150.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75150.bd1 | 75150bn1 | \([1, -1, 1, 5395, -484603]\) | \(1524845951/9739440\) | \(-110938308750000\) | \([]\) | \(258048\) | \(1.3768\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 75150.bd do not have complex multiplication.Modular form 75150.2.a.bd
sage: E.q_eigenform(10)