Properties

Label 12936b
Number of curves $1$
Conductor $12936$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 12936b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12936.e1 12936b1 \([0, -1, 0, -81356, -9223731]\) \(-31636584484096/1331669031\) \(-2506712477249904\) \([]\) \(69120\) \(1.7214\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12936b1 has rank \(0\).

Complex multiplication

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

Modular form 12936.2.a.b

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