Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("bc1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8880.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8880.bc1 8880z1 \([0, 1, 0, -2080, -37900]\) \(-243087455521/5328000\) \(-21823488000\) \([]\) \(8064\) \(0.77304\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8880.bc1 has rank \(0\).

Complex multiplication

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

Modular form 8880.2.a.bc

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