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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 393129.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
393129.s1 | 393129s1 | \([1, -1, 1, 22846, -18641334]\) | \(2828663/323433\) | \(-150790912821945297\) | \([]\) | \(4147200\) | \(1.9756\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 393129.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 393129.s do not have complex multiplication.Modular form 393129.2.a.s
sage: E.q_eigenform(10)