Properties

Label 25168.j
Number of curves $1$
Conductor $25168$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 25168.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25168.j1 25168h1 \([0, -1, 0, -1976, -34736]\) \(-235298/13\) \(-47166040064\) \([]\) \(22400\) \(0.80592\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25168.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25168.j do not have complex multiplication.

Modular form 25168.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 5 q^{7} - 2 q^{9} + q^{13} + q^{15} + 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display