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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 476850bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
476850.bh1 | 476850bh1 | \([1, 1, 0, -621500, 8142436500]\) | \(-70393838689/75905555220\) | \(-28627743384469690312500\) | \([]\) | \(38707200\) | \(2.9881\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 476850bh do not have complex multiplication.Modular form 476850.2.a.bh
sage: E.q_eigenform(10)