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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 59290.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59290.n1 | 59290q1 | \([1, 1, 0, -334303, 74258507]\) | \(-846211325047/1250\) | \(-6103483058750\) | \([]\) | \(430080\) | \(1.7227\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59290.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59290.n do not have complex multiplication.Modular form 59290.2.a.n
sage: E.q_eigenform(10)