Properties

Label 1849.d
Number of curves $1$
Conductor $1849$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("1849.d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1849.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1849.d1 1849d1 [0, -1, 1, -616, -25561] [] 3696 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1849.d1 has rank \(0\).

Modular form 1849.2.a.d

sage: E.q_eigenform(10)
 
\( q + 2q^{2} + 2q^{3} + 2q^{4} + 4q^{5} + 4q^{6} + q^{9} + 8q^{10} + 3q^{11} + 4q^{12} - 5q^{13} + 8q^{15} - 4q^{16} - 3q^{17} + 2q^{18} + 2q^{19} + O(q^{20}) \)