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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 63175.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63175.y1 | 63175j1 | \([0, -1, 1, -3008, -9707]\) | \(533794816/300125\) | \(1692892578125\) | \([]\) | \(165888\) | \(1.0366\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63175.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63175.y do not have complex multiplication.Modular form 63175.2.a.y
sage: E.q_eigenform(10)