Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 931.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
931.c1 931a1 \([0, -1, 1, -114, 727]\) \(-28672/19\) \(-109531219\) \([]\) \(546\) \(0.24349\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 931.c1 has rank \(0\).

Complex multiplication

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

Modular form 931.2.a.c

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