Properties

Label 121242v
Number of curves $1$
Conductor $121242$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 121242v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121242.ba1 121242v1 \([1, 1, 1, -23295, -1378167]\) \(789145184521/22044\) \(39052290684\) \([]\) \(230400\) \(1.1348\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121242v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 121242v do not have complex multiplication.

Modular form 121242.2.a.v

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