Properties

Label 316239.l
Number of curves $1$
Conductor $316239$
CM no
Rank $0$

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

Elliptic curves in class 316239.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
316239.l1 316239l1 \([1, 1, 0, -28, -119]\) \(-1874161/2541\) \(-3478629\) \([]\) \(38592\) \(-0.052206\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 316239.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 316239.l do not have complex multiplication.

Modular form 316239.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} - q^{5} - q^{6} - q^{7} - 3 q^{8} + q^{9} - q^{10} + q^{11} + q^{12} + 2 q^{13} - q^{14} + q^{15} - q^{16} - 2 q^{17} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display