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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 206310ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206310.r1 | 206310ci1 | \([1, 1, 0, -157917, 43342269]\) | \(-241804367/312000\) | \(-561959630376456000\) | \([]\) | \(4610304\) | \(2.0989\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206310ci1 has rank \(0\).
Complex multiplication
The elliptic curves in class 206310ci do not have complex multiplication.Modular form 206310.2.a.ci
sage: E.q_eigenform(10)