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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 41070s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41070.u1 | 41070s1 | \([1, 1, 1, 277194, -29032197]\) | \(918046641959/674325000\) | \(-1730133460748925000\) | \([]\) | \(984960\) | \(2.1878\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41070s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 41070s do not have complex multiplication.Modular form 41070.2.a.s
sage: E.q_eigenform(10)