Properties

Label 284592l
Number of curves $1$
Conductor $284592$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 284592l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
284592.l1 284592l1 \([0, -1, 0, -719385, 247540581]\) \(-37811178496/2381643\) \(-2593372486960620288\) \([]\) \(9538560\) \(2.2871\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 284592l1 has rank \(0\).

Complex multiplication

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

Modular form 284592.2.a.l

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