Properties

Label 12936.j
Number of curves $1$
Conductor $12936$
CM no
Rank $1$

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

Elliptic curves in class 12936.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12936.j1 12936g1 \([0, -1, 0, 2140, 294813]\) \(575511296/20376279\) \(-38355981569136\) \([]\) \(32256\) \(1.2864\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12936.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12936.j do not have complex multiplication.

Modular form 12936.2.a.j

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