Properties

Label 344800b
Number of curves 1
Conductor 344800
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("344800.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 344800b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
344800.b1 344800b1 [0, 0, 0, -25, 1000] [] 324864 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344800b1 has rank \(1\).

Modular form 344800.2.a.b

sage: E.q_eigenform(10)
 
\( q - 3q^{3} + 4q^{7} + 6q^{9} + 5q^{11} - 4q^{13} + 6q^{17} + 7q^{19} + O(q^{20}) \)