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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 443760.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 443760.h1 | 443760h1 | \([0, -1, 0, -1775656, 7837750000]\) | \(-12932809/546750\) | \(-26175584263284108288000\) | \([]\) | \(25486272\) | \(2.9817\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 443760.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 443760.h do not have complex multiplication.Modular form 443760.2.a.h
sage: E.q_eigenform(10)