Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 4704.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4704.l1 4704p1 \([0, -1, 0, 3120, -7272]\) \(2731405432/1594323\) \(-1959920395776\) \([]\) \(6240\) \(1.0481\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4704.l1 has rank \(0\).

Complex multiplication

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

Modular form 4704.2.a.l

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