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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 86190.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86190.c1 | 86190b1 | \([1, 1, 0, -122528, 16139232]\) | \(249395415529/5508000\) | \(4493044811268000\) | \([]\) | \(748800\) | \(1.7912\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86190.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 86190.c do not have complex multiplication.Modular form 86190.2.a.c
sage: E.q_eigenform(10)