Properties

Label 157113.n
Number of curves $1$
Conductor $157113$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 157113.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
157113.n1 157113n1 \([0, 0, 1, -4761, 130795]\) \(-2985984/121\) \(-483633249363\) \([]\) \(295680\) \(1.0099\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 157113.n1 has rank \(2\).

Complex multiplication

The elliptic curves in class 157113.n do not have complex multiplication.

Modular form 157113.2.a.n

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