Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 145794m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145794.be1 145794m1 \([1, 1, 1, -7265447, -7518317731]\) \(1781262272113/6133248\) \(146040526295672329728\) \([]\) \(7796736\) \(2.7324\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145794m1 has rank \(1\).

Complex multiplication

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

Modular form 145794.2.a.m

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