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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 70805.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 70805.h1 | 70805s1 | \([0, -1, 1, -23046, -1334474]\) | \(39814672384/153125\) | \(5206335903125\) | \([]\) | \(311040\) | \(1.2985\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 70805.h do not have complex multiplication.Modular form 70805.2.a.h
sage: E.q_eigenform(10)