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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 165649k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
165649.k1 | 165649k1 | \([1, 0, 1, -29240500, 62565259095]\) | \(-444332593/14641\) | \(-91104670998637591310521\) | \([]\) | \(19820160\) | \(3.1803\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 165649k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 165649k do not have complex multiplication.Modular form 165649.2.a.k
sage: E.q_eigenform(10)