Properties

Label 296.b
Number of curves $1$
Conductor $296$
CM no
Rank $1$

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

Elliptic curves in class 296.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
296.b1 296b1 \([0, -1, 0, -33, 85]\) \(16000000/37\) \(9472\) \([]\) \(16\) \(-0.35617\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 296.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 296.b do not have complex multiplication.

Modular form 296.2.a.b

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