Properties

Label 100800.oj
Number of curves $1$
Conductor $100800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("oj1")
 
E.isogeny_class()
 

Elliptic curves in class 100800.oj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100800.oj1 100800hy1 \([0, 0, 0, -36000, -2700000]\) \(-221184/7\) \(-163296000000000\) \([]\) \(322560\) \(1.5034\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100800.oj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 100800.oj do not have complex multiplication.

Modular form 100800.2.a.oj

sage: E.q_eigenform(10)
 
\(q + q^{7} + 3 q^{11} - q^{13} + 5 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display