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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 6480.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6480.s1 | 6480d1 | \([0, 0, 0, -8532, -303156]\) | \(4543847424/3125\) | \(47239200000\) | \([]\) | \(5760\) | \(0.98547\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6480.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6480.s do not have complex multiplication.Modular form 6480.2.a.s
sage: E.q_eigenform(10)