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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 487388h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 487388.h1 | 487388h1 | \([0, 1, 0, -282, 8237]\) | \(-87808/1007\) | \(-28543390832\) | \([]\) | \(437400\) | \(0.68816\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487388h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 487388h do not have complex multiplication.Modular form 487388.2.a.h
sage: E.q_eigenform(10)