Properties

Label 8640.u
Number of curves $1$
Conductor $8640$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 8640.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8640.u1 8640bv1 \([0, 0, 0, -108, -8208]\) \(-24/5\) \(-29023764480\) \([]\) \(5760\) \(0.68690\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8640.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8640.u do not have complex multiplication.

Modular form 8640.2.a.u

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