Properties

Label 28880.bc
Number of curves $1$
Conductor $28880$
CM no
Rank $0$

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

Elliptic curves in class 28880.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28880.bc1 28880f1 \([0, -1, 0, -9145, 254037]\) \(19456/5\) \(21738960692480\) \([]\) \(76608\) \(1.2685\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28880.bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 28880.bc do not have complex multiplication.

Modular form 28880.2.a.bc

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{5} - 4 q^{7} + q^{9} - q^{11} - 4 q^{13} + 2 q^{15} + 4 q^{17} + O(q^{20})\) Copy content Toggle raw display