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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 43190n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43190.n1 | 43190n1 | \([1, -1, 1, -1297, -26781]\) | \(-241118029063521/177844110850\) | \(-177844110850\) | \([]\) | \(52480\) | \(0.85808\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43190n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43190n do not have complex multiplication.Modular form 43190.2.a.n
sage: E.q_eigenform(10)