Properties

Label 145794l
Number of curves $1$
Conductor $145794$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 145794l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145794.bd1 145794l1 \([1, 1, 1, -3289, 71015]\) \(1781262272113/6133248\) \(13548344832\) \([]\) \(165888\) \(0.80732\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145794l1 has rank \(2\).

Complex multiplication

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

Modular form 145794.2.a.l

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