Properties

Label 132600m
Number of curves $1$
Conductor $132600$
CM no
Rank $0$

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

Elliptic curves in class 132600m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
132600.l1 132600m1 \([0, -1, 0, -78208, -8391188]\) \(41330707081250/6283251\) \(8042561280000\) \([]\) \(424704\) \(1.4888\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 132600m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 132600m do not have complex multiplication.

Modular form 132600.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + 3 q^{11} + q^{13} - q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display