Properties

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

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Show commands: SageMath
E = EllipticCurve("iz1")
 
E.isogeny_class()
 

Elliptic curves in class 284592.iz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
284592.iz1 284592iz1 \([0, 1, 0, -7905, -230133]\) \(123904/21\) \(9260154672384\) \([]\) \(516096\) \(1.2088\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 284592.iz1 has rank \(0\).

Complex multiplication

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

Modular form 284592.2.a.iz

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