Properties

Label 1150.b
Number of curves $1$
Conductor $1150$
CM no
Rank $0$

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

Elliptic curves in class 1150.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1150.b1 1150a1 \([1, -1, 0, -125117, 17049541]\) \(22180666338225/24117248\) \(235520000000000\) \([]\) \(7200\) \(1.6732\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1150.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1150.b do not have complex multiplication.

Modular form 1150.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{7} - q^{8} - 3 q^{9} - 3 q^{11} + 3 q^{13} - q^{14} + q^{16} + 8 q^{17} + 3 q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display