Properties

Label 4704.ba
Number of curves $1$
Conductor $4704$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("4704.ba1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4704.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
4704.ba1 4704y1 [0, 1, 0, -4573, 364139] [] 9408 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4704.ba1 has rank \(1\).

Modular form 4704.2.a.ba

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