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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 242760.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 242760.h1 | 242760h1 | \([0, -1, 0, -20503201, -59505850715]\) | \(-154260682146128896/158339435443875\) | \(-978413836402580080608000\) | \([]\) | \(34836480\) | \(3.2988\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 242760.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 242760.h do not have complex multiplication.Modular form 242760.2.a.h
sage: E.q_eigenform(10)