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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 77658q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 77658.u1 | 77658q1 | \([1, 0, 1, -10885102, -13820663008]\) | \(22563705894034033/5799542784\) | \(36661015455872188416\) | \([]\) | \(4523904\) | \(2.7398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77658q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77658q do not have complex multiplication.Modular form 77658.2.a.q
sage: E.q_eigenform(10)