Properties

Label 439824.u
Number of curves $1$
Conductor $439824$
CM no
Rank $1$

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

Elliptic curves in class 439824.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
439824.u1 439824u1 \([0, -1, 0, -111589, -585539975]\) \(-5102271397888/4915446963867\) \(-148044139482109102848\) \([]\) \(15095808\) \(2.5494\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 439824.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 439824.u do not have complex multiplication.

Modular form 439824.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} + q^{9} + q^{11} - 6 q^{13} + 2 q^{15} + q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display