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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 20286.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20286.c1 | 20286bg1 | \([1, -1, 0, -86886, -34621182]\) | \(-352263793/2313846\) | \(-476477480023289766\) | \([]\) | \(338688\) | \(2.0755\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20286.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20286.c do not have complex multiplication.Modular form 20286.2.a.c
sage: E.q_eigenform(10)