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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 338130.ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.ci1 | 338130ci1 | \([1, -1, 1, 94882, -29436163]\) | \(18576359/84240\) | \(-428387961178953360\) | \([]\) | \(5640192\) | \(2.0657\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.ci1 has rank \(2\).
Complex multiplication
The elliptic curves in class 338130.ci do not have complex multiplication.Modular form 338130.2.a.ci
sage: E.q_eigenform(10)