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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 317900.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
317900.k1 | 317900k1 | \([0, 1, 0, -4533, 125863]\) | \(-13107200/1331\) | \(-1046272480000\) | \([]\) | \(383616\) | \(1.0462\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 317900.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 317900.k do not have complex multiplication.Modular form 317900.2.a.k
sage: E.q_eigenform(10)