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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 63175x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63175.k1 | 63175x1 | \([1, -1, 1, -30, 22]\) | \(12825/7\) | \(1579375\) | \([]\) | \(21816\) | \(-0.11982\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63175x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63175x do not have complex multiplication.Modular form 63175.2.a.x
sage: E.q_eigenform(10)