Properties

Label 38808.cn
Number of curves $1$
Conductor $38808$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cn1")
 
E.isogeny_class()
 

Elliptic curves in class 38808.cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38808.cn1 38808by1 \([0, 0, 0, -654591, -203862393]\) \(-610325920583424/55240493\) \(-2807563144733424\) \([]\) \(368640\) \(2.0037\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38808.cn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 38808.cn do not have complex multiplication.

Modular form 38808.2.a.cn

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} + q^{11} + 3 q^{13} - 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display