Properties

Label 124912.c
Number of curves $1$
Conductor $124912$
CM no
Rank $0$

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

Elliptic curves in class 124912.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
124912.c1 124912a1 \([0, 0, 0, 1, 17]\) \(6912/7807\) \(-124912\) \([]\) \(7808\) \(-0.34306\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 124912.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 124912.c do not have complex multiplication.

Modular form 124912.2.a.c

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} + 2 q^{7} - 3 q^{9} - q^{11} + 2 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display