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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 142912h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 142912.p1 | 142912h1 | \([0, -1, 0, -588369, -173513207]\) | \(21997526078648558848/648733393\) | \(664302994432\) | \([]\) | \(814080\) | \(1.7760\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142912h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 142912h do not have complex multiplication.Modular form 142912.2.a.h
sage: E.q_eigenform(10)