Properties

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

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

Elliptic curves in class 4704.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4704.ba1 4704y1 \([0, 1, 0, -4573, 364139]\) \(-448000/2187\) \(-51640810647552\) \([]\) \(9408\) \(1.3158\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 4704.2.a.ba

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