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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 479808bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
479808.bg1 | 479808bg1 | \([0, 0, 0, -254604, 51305744]\) | \(-3977954113/176256\) | \(-80872993776992256\) | \([]\) | \(4128768\) | \(2.0092\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 479808bg do not have complex multiplication.Modular form 479808.2.a.bg
sage: E.q_eigenform(10)