Properties

Label 126960f
Number of curves $1$
Conductor $126960$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 126960f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126960.e1 126960f1 \([0, -1, 0, 4028159, 13683426541]\) \(190737654201344/2245153696875\) \(-85085010805382949600000\) \([]\) \(10137600\) \(3.0807\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126960f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 126960f do not have complex multiplication.

Modular form 126960.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} - 4 q^{11} + q^{15} - 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display