Properties

Label 124128f
Number of curves $1$
Conductor $124128$
CM no
Rank $1$

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

Elliptic curves in class 124128f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
124128.n1 124128f1 \([0, 0, 0, -18477, -966708]\) \(-14952388971456/431\) \(-20108736\) \([]\) \(125440\) \(0.91032\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 124128f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 124128f do not have complex multiplication.

Modular form 124128.2.a.f

sage: E.q_eigenform(10)
 
\(q + q^{5} + 4 q^{7} + 3 q^{11} + 2 q^{13} - 4 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display