Properties

Label 880.a
Number of curves $1$
Conductor $880$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 880.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
880.a1 880d1 \([0, 0, 0, -67, 226]\) \(-16241202/1375\) \(-2816000\) \([]\) \(288\) \(-0.017441\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 880.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 880.a do not have complex multiplication.

Modular form 880.2.a.a

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