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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 426888h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 426888.h1 | 426888h1 | \([0, 0, 0, -27765507, -56352358370]\) | \(-2683675214/2187\) | \(-1929120536824598734848\) | \([]\) | \(39137280\) | \(3.0135\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 426888h do not have complex multiplication.Modular form 426888.2.a.h
sage: E.q_eigenform(10)