Properties

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

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

Elliptic curves in class 28880bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28880.n1 28880bc1 \([0, -1, 0, 9559160, -11013756688]\) \(73087061741/81920000\) \(-108276024123620065280000\) \([]\) \(2480640\) \(3.1064\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28880bc1 has rank \(1\).

Complex multiplication

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

Modular form 28880.2.a.bc

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