Properties

Label 8880.d
Number of curves $1$
Conductor $8880$
CM no
Rank $0$

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

Elliptic curves in class 8880.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8880.d1 8880j1 \([0, -1, 0, -2936, -3891600]\) \(-683565019129/1597684769280\) \(-6544116814970880\) \([]\) \(51840\) \(1.7137\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8880.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8880.d do not have complex multiplication.

Modular form 8880.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} + 5 q^{11} + 2 q^{13} + q^{15} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display