Properties

Label 201810cn
Number of curves $1$
Conductor $201810$
CM no
Rank $1$

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Show commands: 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)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - q^{7} - q^{8} + q^{9} - q^{10} + 4 q^{11} - q^{12} + q^{13} + q^{14} - q^{15} + q^{16} - q^{18} + O(q^{20})\) Copy content Toggle raw display