Properties

Label 43758p
Number of curves $1$
Conductor $43758$
CM no
Rank $1$

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

Elliptic curves in class 43758p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43758.v1 43758p1 \([1, -1, 1, -3264134, -2387327979]\) \(-5275941807135921123097/326485867713527808\) \(-238008197563161772032\) \([]\) \(1872640\) \(2.6642\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43758p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 43758p do not have complex multiplication.

Modular form 43758.2.a.p

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 2 q^{5} - q^{7} + q^{8} + 2 q^{10} - q^{11} - q^{13} - q^{14} + q^{16} - q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display