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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 70785bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70785.bg1 | 70785bg1 | \([0, 0, 1, -72237, -11739753]\) | \(-32278933504/27421875\) | \(-35414473212421875\) | \([]\) | \(799680\) | \(1.8731\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70785bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70785bg do not have complex multiplication.Modular form 70785.2.a.bg
sage: E.q_eigenform(10)