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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 141570.ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141570.ci1 | 141570dh1 | \([1, -1, 0, 181586916, -470138705712]\) | \(385226073849504061/278469750000000\) | \(-478673868834842645250000000\) | \([]\) | \(58544640\) | \(3.8078\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141570.ci1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141570.ci do not have complex multiplication.Modular form 141570.2.a.ci
sage: E.q_eigenform(10)