Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 145794r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145794.m1 145794r1 \([1, 0, 1, 131389, -1576798]\) \(23271176375/13568148\) \(-146253988907740692\) \([]\) \(1413120\) \(1.9831\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145794r1 has rank \(2\).

Complex multiplication

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

Modular form 145794.2.a.r

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