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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 372810.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.bg1 | 372810bg1 | \([1, 0, 1, -528154, 206254796]\) | \(-675010800306361/371068231680\) | \(-8956685045883985920\) | \([]\) | \(13658112\) | \(2.3401\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810.bg do not have complex multiplication.Modular form 372810.2.a.bg
sage: E.q_eigenform(10)