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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 102966y
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 102966.v1 | 102966y1 | \([1, 0, 0, -283514, -129572472]\) | \(-498677257/1145988\) | \(-5791723816388294628\) | \([]\) | \(2882880\) | \(2.2887\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102966y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 102966y do not have complex multiplication.Modular form 102966.2.a.y
sage: E.q_eigenform(10)