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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 201810cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
201810.m1 | 201810cn1 | \([1, 1, 0, -48504092, -378722278704]\) | \(-15397206157321/66679200000\) | \(-54652158473250226039200000\) | \([]\) | \(66960000\) | \(3.6236\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 201810cn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 201810cn do not have complex multiplication.Modular form 201810.2.a.cn
sage: E.q_eigenform(10)