Properties

Label 2800.bb
Number of curves $1$
Conductor $2800$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("bb1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 2800.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2800.bb1 2800d1 \([0, -1, 0, -28, 147]\) \(-6288640/16807\) \(-6722800\) \([]\) \(480\) \(-0.0024397\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2800.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2800.bb do not have complex multiplication.

Modular form 2800.2.a.bb

sage: E.q_eigenform(10)
 
\(q + 2q^{3} - q^{7} + q^{9} - q^{11} - 4q^{13} - 6q^{19} + O(q^{20})\)  Toggle raw display