Properties

Label 4704.w
Number of curves $1$
Conductor $4704$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 4704.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4704.w1 4704bb1 \([0, 1, 0, 152864, 2188556]\) \(2731405432/1594323\) \(-230582674642650624\) \([]\) \(43680\) \(2.0210\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4704.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4704.w do not have complex multiplication.

Modular form 4704.2.a.w

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{9} + q^{11} - q^{15} + 8 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display