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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 455175.co
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
455175.co1 | 455175co1 | \([0, 0, 1, -2297550, -1981627844]\) | \(-4878401536/3346875\) | \(-920196495843310546875\) | \([]\) | \(13271040\) | \(2.7230\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175.co1 has rank \(0\).
Complex multiplication
The elliptic curves in class 455175.co do not have complex multiplication.Modular form 455175.2.a.co
sage: E.q_eigenform(10)