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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 136367s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
136367.s1 | 136367s1 | \([0, 0, 1, 41503, 5592529]\) | \(110592/253\) | \(-18086685721743331\) | \([]\) | \(1128960\) | \(1.8036\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 136367s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 136367s do not have complex multiplication.Modular form 136367.2.a.s
sage: E.q_eigenform(10)