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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 9200bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9200.v1 | 9200bh1 | \([0, 0, 0, -80075, -8713350]\) | \(22180666338225/24117248\) | \(61740154880000\) | \([]\) | \(34560\) | \(1.5616\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9200bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9200bh do not have complex multiplication.Modular form 9200.2.a.bh
sage: E.q_eigenform(10)