Properties

Label 12138.c
Number of curves $1$
Conductor $12138$
CM no
Rank $0$

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

Elliptic curves in class 12138.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12138.c1 12138f1 \([1, 1, 0, 18856, 3301824]\) \(150900148890919/1041386274432\) \(-5116330766284416\) \([]\) \(85120\) \(1.6959\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12138.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 12138.c do not have complex multiplication.

Modular form 12138.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - 3 q^{5} + q^{6} + q^{7} - q^{8} + q^{9} + 3 q^{10} - q^{11} - q^{12} + q^{13} - q^{14} + 3 q^{15} + q^{16} - q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display