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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 334620.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
334620.bg1 | 334620bg1 | \([0, 0, 0, -135408, -24704732]\) | \(-8705675689984/3321676875\) | \(-104763881645280000\) | \([]\) | \(4423680\) | \(1.9755\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 334620.bg do not have complex multiplication.Modular form 334620.2.a.bg
sage: E.q_eigenform(10)