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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 349830y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
349830.y1 | 349830y1 | \([1, -1, 0, -2312205, 643835141]\) | \(2298944458161/1029814880\) | \(612397641593458861920\) | \([]\) | \(13977600\) | \(2.6841\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 349830y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 349830y do not have complex multiplication.Modular form 349830.2.a.y
sage: E.q_eigenform(10)