Properties

Label 804.b
Number of curves 1
Conductor 804
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("804.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 804.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
804.b1 804b1 [0, -1, 0, -1373, -19191] [] 360 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 804.b1 has rank \(1\).

Modular form 804.2.a.b

sage: E.q_eigenform(10)
 
\( q - q^{3} + q^{9} - 2q^{11} - 4q^{13} - 3q^{17} + 5q^{19} + O(q^{20}) \)