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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 124579a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 124579.d1 | 124579a1 | \([0, 0, 1, 1369, 12663]\) | \(110592/91\) | \(-233481103219\) | \([]\) | \(205632\) | \(0.86913\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 124579a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 124579a do not have complex multiplication.Modular form 124579.2.a.a
sage: E.q_eigenform(10)