Properties

Label 112632m
Number of curves $1$
Conductor $112632$
CM no
Rank $1$

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

Elliptic curves in class 112632m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
112632.l1 112632m1 \([0, -1, 0, -155312, -23507268]\) \(-1120816166918692/1601613\) \(-592058668032\) \([]\) \(342144\) \(1.5302\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 112632m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 112632m do not have complex multiplication.

Modular form 112632.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{5} + q^{9} - 3 q^{11} - q^{13} - 2 q^{15} + 5 q^{17} + O(q^{20})\) Copy content Toggle raw display