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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 6480.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6480.r1 | 6480o1 | \([0, 0, 0, -432, -3024]\) | \(36864/5\) | \(1209323520\) | \([]\) | \(2880\) | \(0.46996\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6480.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6480.r do not have complex multiplication.Modular form 6480.2.a.r
sage: E.q_eigenform(10)