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SageMath
E = EllipticCurve("ek1")
E.isogeny_class()
Elliptic curves in class 106560ek
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106560.u1 | 106560ek1 | \([0, 0, 0, -12108, 1927568]\) | \(-2054487458/15609375\) | \(-1491499008000000\) | \([]\) | \(516096\) | \(1.5945\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106560ek1 has rank \(1\).
Complex multiplication
The elliptic curves in class 106560ek do not have complex multiplication.Modular form 106560.2.a.ek
sage: E.q_eigenform(10)