Properties

Label 931.b
Number of curves $1$
Conductor $931$
CM no
Rank $0$

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

Elliptic curves in class 931.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
931.b1 931c1 \([0, 1, 1, -2, -3]\) \(-28672/19\) \(-931\) \([]\) \(78\) \(-0.72947\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 931.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 931.b do not have complex multiplication.

Modular form 931.2.a.b

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - 2 q^{3} + 2 q^{4} - 3 q^{5} - 4 q^{6} + q^{9} - 6 q^{10} + 4 q^{11} - 4 q^{12} + 6 q^{13} + 6 q^{15} - 4 q^{16} + 7 q^{17} + 2 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display