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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 86394.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86394.c1 | 86394n1 | \([1, 1, 0, -139394, 19886706]\) | \(11548723153/57834\) | \(1500065014374234\) | \([]\) | \(686400\) | \(1.7591\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86394.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 86394.c do not have complex multiplication.Modular form 86394.2.a.c
sage: E.q_eigenform(10)