Properties

Label 119952.u
Number of curves $1$
Conductor $119952$
CM no
Rank $1$

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

Elliptic curves in class 119952.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.u1 119952ds1 \([0, 0, 0, -6391119, 6149426794]\) \(26835062456272/345025251\) \(371195492823231277824\) \([]\) \(5644800\) \(2.7554\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 119952.u do not have complex multiplication.

Modular form 119952.2.a.u

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