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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 9450.ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9450.ci1 | 9450cs1 | \([1, -1, 1, -410, 6617]\) | \(-250360359/458752\) | \(-13934592000\) | \([]\) | \(7680\) | \(0.63653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.ci1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9450.ci do not have complex multiplication.Modular form 9450.2.a.ci
sage: E.q_eigenform(10)