Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("804.d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 804.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
804.d1 804d1 [0, 1, 0, 84, 36] [] 168 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 804.d1 has rank \(1\).

Modular form 804.2.a.d

sage: E.q_eigenform(10)
 
\( q + q^{3} - q^{5} - 3q^{7} + q^{9} - 2q^{11} - 2q^{13} - q^{15} - 4q^{17} - 4q^{19} + O(q^{20}) \)