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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 344800h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 344800.h1 | 344800h1 | \([0, 1, 0, 142, -712]\) | \(314432/431\) | \(-431000000\) | \([]\) | \(103680\) | \(0.34251\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344800h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 344800h do not have complex multiplication.Modular form 344800.2.a.h
sage: E.q_eigenform(10)