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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 457776h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 457776.h1 | 457776h1 | \([0, 0, 0, -117912, -28397140]\) | \(-8192/11\) | \(-243444782497137408\) | \([]\) | \(7206912\) | \(2.0288\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 457776h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 457776h do not have complex multiplication.Modular form 457776.2.a.h
sage: E.q_eigenform(10)