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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 61347y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61347.x1 | 61347y1 | \([1, 0, 1, 503, 25859]\) | \(143/3\) | \(-296110251723\) | \([]\) | \(63648\) | \(0.88149\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61347y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 61347y do not have complex multiplication.Modular form 61347.2.a.y
sage: E.q_eigenform(10)