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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 443760ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
443760.ci1 | 443760ci1 | \([0, 1, 0, -2336, 41460]\) | \(186222121/6000\) | \(45441024000\) | \([]\) | \(483840\) | \(0.81901\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 443760ci1 has rank \(0\).
Complex multiplication
The elliptic curves in class 443760ci do not have complex multiplication.Modular form 443760.2.a.ci
sage: E.q_eigenform(10)