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SageMath
E = EllipticCurve("gb1")
E.isogeny_class()
Elliptic curves in class 394944gb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 394944.gb1 | 394944gb1 | \([0, 1, 0, -1102229, 18178133235]\) | \(-5102271397888/4915446963867\) | \(-142672103649364973764608\) | \([]\) | \(61931520\) | \(3.1219\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 394944gb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 394944gb do not have complex multiplication.Modular form 394944.2.a.gb
sage: E.q_eigenform(10)