Properties

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

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Show commands: SageMath
E = EllipticCurve("ik1")
 
E.isogeny_class()
 

Elliptic curves in class 100800.ik

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100800.ik1 100800fz1 \([0, 0, 0, 28800, -5724000]\) \(14155776/84035\) \(-15682947840000000\) \([]\) \(645120\) \(1.7895\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100800.ik1 has rank \(1\).

Complex multiplication

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

Modular form 100800.2.a.ik

sage: E.q_eigenform(10)
 
\(q + q^{7} - 5 q^{11} - 3 q^{13} - q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display