Properties

Label 433200.u
Number of curves $1$
Conductor $433200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 433200.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
433200.u1 433200u1 \([0, -1, 0, 317, 862]\) \(38912/27\) \(-2436750000\) \([]\) \(221184\) \(0.48972\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 433200.u1 has rank \(0\).

Complex multiplication

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

Modular form 433200.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + 5 q^{13} + 4 q^{17} + O(q^{20})\) Copy content Toggle raw display