Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 8880b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8880.m1 8880b1 \([0, -1, 0, 15, 45]\) \(1362944/4995\) \(-1278720\) \([]\) \(960\) \(-0.14534\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8880b1 has rank \(0\).

Complex multiplication

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

Modular form 8880.2.a.b

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