Properties

Label 38440.i
Number of curves $1$
Conductor $38440$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 38440.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38440.i1 38440b1 \([0, 1, 0, -6920481, 7061598275]\) \(-161332732109824/1513671875\) \(-343907676387500000000\) \([]\) \(1013760\) \(2.7621\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38440.i1 has rank \(0\).

Complex multiplication

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

Modular form 38440.2.a.i

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 2 q^{9} + 2 q^{13} - q^{15} - 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display