Properties

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

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

Elliptic curves in class 804.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
804.d1 804d1 \([0, 1, 0, 84, 36]\) \(253012016/146529\) \(-37511424\) \([]\) \(168\) \(0.14281\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

The elliptic curves in class 804.d do not have complex multiplication.

Modular form 804.2.a.d

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