Properties

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

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Show commands: SageMath
E = EllipticCurve("ce1")
 
E.isogeny_class()
 

Elliptic curves in class 38808.ce

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38808.ce1 38808bw1 \([0, 0, 0, 50421, -2252138]\) \(1815156/1331\) \(-10394944535872512\) \([]\) \(209664\) \(1.7616\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38808.ce1 has rank \(0\).

Complex multiplication

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

Modular form 38808.2.a.ce

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} + q^{11} - 6 q^{13} + q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display