Properties

Label 124950.f
Number of curves $1$
Conductor $124950$
CM no
Rank $0$

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

Elliptic curves in class 124950.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
124950.f1 124950f1 \([1, 1, 0, 324288100, 1771167810000]\) \(41870910074901457151/39273784934400000\) \(-3537586791618969600000000000\) \([]\) \(102896640\) \(3.9733\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 124950.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 124950.f do not have complex multiplication.

Modular form 124950.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} - 5 q^{11} - q^{12} + 5 q^{13} + q^{16} + q^{17} - q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display