Properties

Label 129285.j
Number of curves $1$
Conductor $129285$
CM no
Rank $2$

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

Elliptic curves in class 129285.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129285.j1 129285g1 \([0, 0, 1, -52728, 4662583]\) \(-736100352/425\) \(-9360510023475\) \([]\) \(379392\) \(1.4347\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129285.j1 has rank \(2\).

Complex multiplication

The elliptic curves in class 129285.j do not have complex multiplication.

Modular form 129285.2.a.j

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