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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 143745.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
143745.s1 | 143745p1 | \([0, 1, 1, -33397211, -72190087630]\) | \(1172844765282304/37975888125\) | \(133389526783464988588125\) | \([]\) | \(11252736\) | \(3.2112\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 143745.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 143745.s do not have complex multiplication.Modular form 143745.2.a.s
sage: E.q_eigenform(10)