Properties

Label 8976be
Number of curves $1$
Conductor $8976$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 8976be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8976.be1 8976be1 \([0, 1, 0, -2277, 1706463]\) \(-5102271397888/4915446963867\) \(-1258354422749952\) \([]\) \(64512\) \(1.5764\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8976be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8976be do not have complex multiplication.

Modular form 8976.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2 q^{5} + 5 q^{7} + q^{9} + q^{11} + 6 q^{13} + 2 q^{15} - q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display