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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 111573.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111573.n1 | 111573m1 | \([1, -1, 1, 295, 298]\) | \(421875/253\) | \(-1708071057\) | \([]\) | \(43008\) | \(0.46084\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111573.n1 has rank \(2\).
Complex multiplication
The elliptic curves in class 111573.n do not have complex multiplication.Modular form 111573.2.a.n
sage: E.q_eigenform(10)