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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 63175k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63175.e1 | 63175k1 | \([0, 0, 1, -55386425, -158547714094]\) | \(196145197056/153125\) | \(14669055011340283203125\) | \([]\) | \(6566400\) | \(3.1845\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63175k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63175k do not have complex multiplication.Modular form 63175.2.a.k
sage: E.q_eigenform(10)