Properties

Label 12882.m
Number of curves $1$
Conductor $12882$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 12882.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12882.m1 12882m1 \([1, 0, 0, 3, -9]\) \(2924207/38646\) \(-38646\) \([]\) \(1520\) \(-0.43904\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12882.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 12882.m do not have complex multiplication.

Modular form 12882.2.a.m

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - 3 q^{5} + q^{6} + 3 q^{7} + q^{8} + q^{9} - 3 q^{10} + q^{12} - 2 q^{13} + 3 q^{14} - 3 q^{15} + q^{16} - 4 q^{17} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display