Properties

Label 43758.d
Number of curves $1$
Conductor $43758$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 43758.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43758.d1 43758i1 \([1, -1, 0, 2025, -26573]\) \(1259362112399/1131450606\) \(-824827491774\) \([]\) \(58368\) \(0.97392\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43758.d1 has rank \(1\).

Complex multiplication

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

Modular form 43758.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + 3 q^{7} - q^{8} + q^{10} + q^{11} - q^{13} - 3 q^{14} + q^{16} - q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display