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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 108900.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
108900.s1 | 108900y1 | \([0, 0, 0, -19602000, -35128417500]\) | \(-238878720/14641\) | \(-51052632842148300000000\) | \([]\) | \(10368000\) | \(3.1119\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 108900.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 108900.s do not have complex multiplication.Modular form 108900.2.a.s
sage: E.q_eigenform(10)