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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 8880.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8880.s1 | 8880u1 | \([0, 1, 0, 24, 180]\) | \(357911/3330\) | \(-13639680\) | \([]\) | \(1920\) | \(0.050261\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8880.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8880.s do not have complex multiplication.Modular form 8880.2.a.s
sage: E.q_eigenform(10)