Properties

Label 2888.b
Number of curves $1$
Conductor $2888$
CM no
Rank $1$

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

Elliptic curves in class 2888.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2888.b1 2888c1 \([0, -1, 0, -3008, 91948]\) \(-31250/19\) \(-1830649321472\) \([]\) \(2880\) \(1.0550\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2888.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2888.b do not have complex multiplication.

Modular form 2888.2.a.b

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