Properties

Label 284592r
Number of curves $1$
Conductor $284592$
CM no
Rank $2$

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

Elliptic curves in class 284592r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
284592.r1 284592r1 \([0, -1, 0, -1437, 16689]\) \(90112/21\) \(76530203904\) \([]\) \(221184\) \(0.80037\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 284592r1 has rank \(2\).

Complex multiplication

The elliptic curves in class 284592r do not have complex multiplication.

Modular form 284592.2.a.r

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