Properties

Label 145794.b
Number of curves $1$
Conductor $145794$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 145794.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145794.b1 145794bg1 \([1, 1, 0, 23149, 48955821]\) \(127263527/96087552\) \(-1035748413444484608\) \([]\) \(1907712\) \(2.1358\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145794.b1 has rank \(1\).

Complex multiplication

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

Modular form 145794.2.a.b

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