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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 277350h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 277350.h1 | 277350h1 | \([1, 1, 0, 2194725, -6420713625]\) | \(6401711/101250\) | \(-18491098095423457031250\) | \([]\) | \(22192128\) | \(2.9532\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277350h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 277350h do not have complex multiplication.Modular form 277350.2.a.h
sage: E.q_eigenform(10)