Properties

Label 5776.l
Number of curves $1$
Conductor $5776$
CM no
Rank $0$

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

Elliptic curves in class 5776.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5776.l1 5776c1 \([0, 1, 0, -3008, -91948]\) \(-31250/19\) \(-1830649321472\) \([]\) \(5760\) \(1.0550\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5776.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5776.l do not have complex multiplication.

Modular form 5776.2.a.l

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