Properties

Label 40460p
Number of curves $1$
Conductor $40460$
CM no
Rank $0$

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

Elliptic curves in class 40460p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40460.a1 40460p1 \([0, 0, 0, 9248, 1041556]\) \(14155776/84035\) \(-519270556394240\) \([]\) \(310080\) \(1.5055\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40460p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 40460p do not have complex multiplication.

Modular form 40460.2.a.p

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} + q^{7} + 6 q^{9} + 5 q^{11} - 3 q^{13} - 3 q^{15} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display