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Properties

Label 433200.kt
Number of curves $1$
Conductor $433200$
CM no
Rank $1$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 433200.kt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 433200.kt do not have complex multiplication.

Modular form 433200.2.a.kt

Copy content sage:E.q_eigenform(10)
 
\(q + q^{3} + 4 q^{7} + q^{9} + q^{11} - 8 q^{17} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 433200.kt

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
433200.kt1 433200kt1 \([0, 1, 0, -2963208, 2044531188]\) \(-23891790625/1181952\) \(-142351291237662720000\) \([]\) \(16588800\) \(2.6284\) \(\Gamma_0(N)\)-optimal