Properties

Label 890.d
Number of curves $1$
Conductor $890$
CM no
Rank $1$

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

Elliptic curves in class 890.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
890.d1 890d1 \([1, 0, 1, -13, 16]\) \(-217081801/3560\) \(-3560\) \([]\) \(72\) \(-0.51864\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 890.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 890.d do not have complex multiplication.

Modular form 890.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - 4 q^{7} - q^{8} - 2 q^{9} - q^{10} - q^{11} + q^{12} + 4 q^{13} + 4 q^{14} + q^{15} + q^{16} + 2 q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display