Properties

Label 46240.u
Number of curves $1$
Conductor $46240$
CM no
Rank $0$

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

Elliptic curves in class 46240.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46240.u1 46240i1 \([0, 1, 0, 18400, 778748]\) \(55742968/53125\) \(-656541876800000\) \([]\) \(138240\) \(1.5303\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46240.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 46240.u do not have complex multiplication.

Modular form 46240.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 2 q^{7} - 2 q^{9} + 5 q^{13} + q^{15} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display