Properties

Label 121242.m
Number of curves $1$
Conductor $121242$
CM no
Rank $0$

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

Elliptic curves in class 121242.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121242.m1 121242n1 \([1, 0, 1, -3391, 105752]\) \(-2433138625/1333662\) \(-2362663586382\) \([]\) \(288000\) \(1.0778\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121242.m1 has rank \(0\).

Complex multiplication

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

Modular form 121242.2.a.m

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