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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 271440h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 271440.h1 | 271440h1 | \([0, 0, 0, -7068, 227212]\) | \(209240544256/1585285\) | \(295852227840\) | \([]\) | \(345600\) | \(1.0308\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271440h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 271440h do not have complex multiplication.Modular form 271440.2.a.h
sage: E.q_eigenform(10)