Properties

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

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Show commands: SageMath
E = EllipticCurve("kc1")
 
E.isogeny_class()
 

Elliptic curves in class 100800.kc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100800.kc1 100800ic1 \([0, 0, 0, -25500, -1685000]\) \(-6288640/567\) \(-165337200000000\) \([]\) \(245760\) \(1.4714\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100800.kc1 has rank \(0\).

Complex multiplication

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

Modular form 100800.2.a.kc

sage: E.q_eigenform(10)
 
\(q + q^{7} - 3 q^{11} + 2 q^{13} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display