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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 48400.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 48400.h1 | 48400cr1 | \([0, 0, 0, -565675, 355044250]\) | \(-1459161/3125\) | \(-42871776200000000000\) | \([]\) | \(2027520\) | \(2.4560\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 48400.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 48400.h do not have complex multiplication.Modular form 48400.2.a.h
sage: E.q_eigenform(10)