Properties

Label 132496.e
Number of curves $1$
Conductor $132496$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 132496.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
132496.e1 132496dg1 \([0, 0, 0, -57967, 5274997]\) \(48384\) \(445209493600144\) \([]\) \(774144\) \(1.6011\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 132496.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 132496.e do not have complex multiplication.

Modular form 132496.2.a.e

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