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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 85800.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 85800.q1 | 85800c1 | \([0, -1, 0, -198008, 51096012]\) | \(-26830214120162/19628090625\) | \(-628098900000000000\) | \([]\) | \(1036800\) | \(2.1146\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85800.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 85800.q do not have complex multiplication.Modular form 85800.2.a.q
sage: E.q_eigenform(10)