Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 124950p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
124950.p1 124950p1 \([1, 1, 0, -1005, 9885]\) \(38226865/6528\) \(19200316800\) \([]\) \(127008\) \(0.69372\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 124950p1 has rank \(0\).

Complex multiplication

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

Modular form 124950.2.a.p

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