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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 92736ch
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 92736.dc1 | 92736ch1 | \([0, 0, 0, 60, 1384]\) | \(32000/1127\) | \(-841300992\) | \([]\) | \(23040\) | \(0.39247\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92736ch1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92736ch do not have complex multiplication.Modular form 92736.2.a.ch
sage: E.q_eigenform(10)