Properties

Label 272832.b
Number of curves $1$
Conductor $272832$
CM no
Rank $0$

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

Elliptic curves in class 272832.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
272832.b1 272832b1 \([0, -1, 0, -47105, 45083361]\) \(-8741816/658503\) \(-870743122585878528\) \([]\) \(3999744\) \(2.1220\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 272832.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 272832.b do not have complex multiplication.

Modular form 272832.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} + q^{9} - q^{11} + 3 q^{13} + 4 q^{15} - 2 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display