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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 77658a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 77658.g1 | 77658a1 | \([1, 1, 0, -5835482, 2712971028]\) | \(43725816667/18966528\) | \(9532436846893266991104\) | \([]\) | \(8990784\) | \(2.9136\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77658a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77658a do not have complex multiplication.Modular form 77658.2.a.a
sage: E.q_eigenform(10)