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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 25200ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25200.ey1 | 25200ce1 | \([0, 0, 0, -6375, -464375]\) | \(-6288640/16807\) | \(-76576893750000\) | \([]\) | \(57600\) | \(1.3516\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25200ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25200ce do not have complex multiplication.Modular form 25200.2.a.ce
sage: E.q_eigenform(10)