Properties

Label 236992b
Number of curves $1$
Conductor $236992$
CM no
Rank $2$

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

Elliptic curves in class 236992b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.b1 236992b1 \([0, 0, 0, -460, 4048]\) \(-621000/49\) \(-849379328\) \([]\) \(205824\) \(0.46037\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 236992b do not have complex multiplication.

Modular form 236992.2.a.b

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{7} + 6 q^{9} - 6 q^{13} - 7 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display