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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 55545n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55545.x1 | 55545n1 | \([0, 1, 1, -23429586, 61040931995]\) | \(-18163305455448064/10048419997875\) | \(-786901670550895176277875\) | \([]\) | \(12055680\) | \(3.2887\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55545n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 55545n do not have complex multiplication.Modular form 55545.2.a.n
sage: E.q_eigenform(10)