Properties

Label 242550iz
Number of curves $1$
Conductor $242550$
CM no
Rank $0$

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

Elliptic curves in class 242550iz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
242550.iz1 242550iz1 \([1, -1, 1, -6104405, -5805136403]\) \(-34068278205171/10307264\) \(-7611090366033000000\) \([]\) \(7741440\) \(2.6006\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 242550iz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 242550iz do not have complex multiplication.

Modular form 242550.2.a.iz

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{8} - q^{11} - 2 q^{13} + q^{16} + q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display