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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 9702.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9702.y1 | 9702y1 | \([1, -1, 0, -51, 125]\) | \(415233/88\) | \(3143448\) | \([]\) | \(2016\) | \(-0.038738\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9702.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9702.y do not have complex multiplication.Modular form 9702.2.a.y
sage: E.q_eigenform(10)