Properties

Label 86640.e
Number of curves $1$
Conductor $86640$
CM no
Rank $0$

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

Elliptic curves in class 86640.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
86640.e1 86640br1 \([0, -1, 0, -22141, -1260719]\) \(35981615104/45\) \(1501297920\) \([]\) \(120960\) \(1.0400\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 86640.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 86640.e do not have complex multiplication.

Modular form 86640.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{7} + q^{9} + q^{11} + 6 q^{13} + q^{15} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display