Properties

Label 124128c
Number of curves $1$
Conductor $124128$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 124128c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
124128.m1 124128c1 \([0, 0, 0, -57, 272]\) \(-438976/431\) \(-20108736\) \([]\) \(23040\) \(0.097310\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 124128c1 has rank \(0\).

Complex multiplication

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

Modular form 124128.2.a.c

sage: E.q_eigenform(10)
 
\(q + q^{5} + 4 q^{7} - q^{11} - 2 q^{13} + 8 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display