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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 2160.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2160.e1 | 2160c1 | \([0, 0, 0, -3, -3]\) | \(-6912/5\) | \(-2160\) | \([]\) | \(96\) | \(-0.66052\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2160.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2160.e do not have complex multiplication.Modular form 2160.2.a.e
sage: E.q_eigenform(10)