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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 142912g
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 142912.q1 | 142912g1 | \([0, -1, 0, -441649, 113116745]\) | \(9303717032993037568/78496740553\) | \(80380662326272\) | \([]\) | \(921600\) | \(1.8371\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142912g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 142912g do not have complex multiplication.Modular form 142912.2.a.g
sage: E.q_eigenform(10)