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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 24400.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 24400.h1 | 24400p1 | \([0, 1, 0, -808, -9612]\) | \(-912673/61\) | \(-3904000000\) | \([]\) | \(13824\) | \(0.59241\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24400.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 24400.h do not have complex multiplication.Modular form 24400.2.a.h
sage: E.q_eigenform(10)