Properties

Label 389376u
Number of curves $1$
Conductor $389376$
CM no
Rank $1$

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

Elliptic curves in class 389376u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
389376.u1 389376u1 \([0, 0, 0, 28392, -281216]\) \(21952/13\) \(-1498928542285824\) \([]\) \(1290240\) \(1.6013\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 389376u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 389376u do not have complex multiplication.

Modular form 389376.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} + 2 q^{11} - q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display