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SageMath
E = EllipticCurve("kk1")
E.isogeny_class()
Elliptic curves in class 84672kk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84672.ke1 | 84672kk1 | \([0, 0, 0, -2646, -18522]\) | \(13824/7\) | \(1037426999616\) | \([]\) | \(110592\) | \(0.99817\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84672kk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84672kk do not have complex multiplication.Modular form 84672.2.a.kk
sage: E.q_eigenform(10)