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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 54150.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54150.s1 | 54150bg1 | \([1, 0, 1, -67876, -8644702]\) | \(-3258025/1152\) | \(-12228165389520000\) | \([]\) | \(459648\) | \(1.7979\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54150.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54150.s do not have complex multiplication.Modular form 54150.2.a.s
sage: E.q_eigenform(10)