Properties

Label 38440.c
Number of curves $1$
Conductor $38440$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 38440.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38440.c1 38440d1 \([0, 1, 0, -41, -101]\) \(31744/5\) \(1230080\) \([]\) \(6240\) \(-0.10861\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38440.c1 has rank \(2\).

Complex multiplication

The elliptic curves in class 38440.c do not have complex multiplication.

Modular form 38440.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - q^{5} - 2 q^{7} + q^{9} - 3 q^{11} - 4 q^{13} + 2 q^{15} - 6 q^{17} + O(q^{20})\) Copy content Toggle raw display