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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 190575k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.j1 | 190575k1 | \([0, 0, 1, -1340625, -554614844]\) | \(28121600000/2250423\) | \(21324054555439453125\) | \([]\) | \(8294400\) | \(2.4522\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190575k do not have complex multiplication.Modular form 190575.2.a.k
sage: E.q_eigenform(10)