Properties

Label 288834.r
Number of curves $1$
Conductor $288834$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 288834.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
288834.r1 288834r1 \([1, 0, 1, -3979, 110678]\) \(-47045881/8736\) \(-1293241526304\) \([]\) \(498960\) \(1.0485\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 288834.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 288834.r do not have complex multiplication.

Modular form 288834.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} + q^{7} - q^{8} + q^{9} + q^{10} - 3 q^{11} + q^{12} - q^{13} - q^{14} - q^{15} + q^{16} - 5 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display