Properties

Label 145794p
Number of curves $1$
Conductor $145794$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 145794p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145794.k1 145794p1 \([1, 0, 1, -5757, -168584]\) \(9550107022633/256608\) \(566847072\) \([]\) \(161280\) \(0.78422\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145794p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 145794p do not have complex multiplication.

Modular form 145794.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 2 q^{5} - q^{6} + 3 q^{7} - q^{8} + q^{9} + 2 q^{10} - q^{11} + q^{12} - 3 q^{13} - 3 q^{14} - 2 q^{15} + q^{16} + 4 q^{17} - q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display