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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 344760.ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344760.ci1 | 344760ci1 | \([0, 1, 0, -2760, -57147]\) | \(-30118144/255\) | \(-19693380720\) | \([]\) | \(368640\) | \(0.80096\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760.ci1 has rank \(0\).
Complex multiplication
The elliptic curves in class 344760.ci do not have complex multiplication.Modular form 344760.2.a.ci
sage: E.q_eigenform(10)