Properties

Label 433200y
Number of curves $1$
Conductor $433200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 433200y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
433200.y1 433200y1 \([0, -1, 0, -262928, 51902307]\) \(15573760/27\) \(3485027136013200\) \([]\) \(4377600\) \(1.8761\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 433200y1 has rank \(1\).

Complex multiplication

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

Modular form 433200.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + 6 q^{11} - 4 q^{13} + 6 q^{17} + O(q^{20})\) Copy content Toggle raw display