Properties

Label 4176.l
Number of curves $1$
Conductor $4176$
CM no
Rank $1$

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

Elliptic curves in class 4176.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4176.l1 4176h1 \([0, 0, 0, -723, -7486]\) \(-55990084/29\) \(-21648384\) \([]\) \(960\) \(0.35858\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4176.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4176.l do not have complex multiplication.

Modular form 4176.2.a.l

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