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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 46090n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46090.q1 | 46090n1 | \([1, -1, 1, -1072, -9581]\) | \(136121964359121/36872000000\) | \(36872000000\) | \([]\) | \(50112\) | \(0.73553\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46090n1 has rank \(2\).
Complex multiplication
The elliptic curves in class 46090n do not have complex multiplication.Modular form 46090.2.a.n
sage: E.q_eigenform(10)