Properties

Label 100800kt
Number of curves $1$
Conductor $100800$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("kt1")
 
E.isogeny_class()
 

Elliptic curves in class 100800kt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100800.jc1 100800kt1 \([0, 0, 0, -33900, 3160400]\) \(-1947910950/823543\) \(-1821545349120000\) \([]\) \(473088\) \(1.6360\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100800kt1 has rank \(2\).

Complex multiplication

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

Modular form 100800.2.a.kt

sage: E.q_eigenform(10)
 
\(q + q^{7} - 4 q^{11} - q^{13} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display