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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 11760h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 11760.d1 | 11760h1 | \([0, -1, 0, -3201, -130899]\) | \(-50176/75\) | \(-5423524780800\) | \([]\) | \(26880\) | \(1.1352\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11760h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11760h do not have complex multiplication.Modular form 11760.2.a.h
sage: E.q_eigenform(10)