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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 160113h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 160113.g1 | 160113h1 | \([0, -1, 1, -803150216, 8792177363195]\) | \(-2584989816536277323776/10646407060342731\) | \(-235970810811771584394103299\) | \([]\) | \(113218560\) | \(3.9161\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160113h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 160113h do not have complex multiplication.Modular form 160113.2.a.h
sage: E.q_eigenform(10)