Properties

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

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 284592.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
284592.o1 284592o1 \([0, -1, 0, -4517, 118329]\) \(7929856/3\) \(3856790784\) \([]\) \(258048\) \(0.80588\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 284592.o1 has rank \(2\).

Complex multiplication

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

Modular form 284592.2.a.o

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