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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 270480.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 270480.h1 | 270480h1 | \([0, -1, 0, -347916, -73368945]\) | \(50494475148544/3929765625\) | \(362469068876250000\) | \([]\) | \(2897664\) | \(2.1135\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270480.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 270480.h do not have complex multiplication.Modular form 270480.2.a.h
sage: E.q_eigenform(10)