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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 17424ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17424.d1 | 17424ci1 | \([0, 0, 0, 528, 880]\) | \(45056/27\) | \(-9755209728\) | \([]\) | \(11520\) | \(0.60604\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17424ci1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17424ci do not have complex multiplication.Modular form 17424.2.a.ci
sage: E.q_eigenform(10)