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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 46800.ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46800.ci1 | 46800du1 | \([0, 0, 0, -238800, -70562000]\) | \(-32278933504/27421875\) | \(-1279395000000000000\) | \([]\) | \(645120\) | \(2.1720\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800.ci1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46800.ci do not have complex multiplication.Modular form 46800.2.a.ci
sage: E.q_eigenform(10)