Properties

Label 38808co
Number of curves $1$
Conductor $38808$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("co1")
 
E.isogeny_class()
 

Elliptic curves in class 38808co

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38808.j1 38808co1 \([0, 0, 0, -1764, 37044]\) \(-27648/11\) \(-241517396736\) \([]\) \(40320\) \(0.89305\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38808co1 has rank \(1\).

Complex multiplication

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

Modular form 38808.2.a.co

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + q^{11} - 6 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display