Properties

Label 43758m
Number of curves $1$
Conductor $43758$
CM no
Rank $0$

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

Elliptic curves in class 43758m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43758.y1 43758m1 \([1, -1, 1, 1402, 9829]\) \(15494117157/11240944\) \(-221255500752\) \([]\) \(76032\) \(0.86523\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43758m1 has rank \(0\).

Complex multiplication

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

Modular form 43758.2.a.m

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 4 q^{5} - 3 q^{7} + q^{8} + 4 q^{10} + q^{11} + q^{13} - 3 q^{14} + q^{16} - q^{17} + O(q^{20})\) Copy content Toggle raw display