Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 124950q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
124950.j1 124950q1 \([1, 1, 0, -138450, -535063500]\) \(-744775/313344\) \(-123482037420000000000\) \([]\) \(6504960\) \(2.5343\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 124950q1 has rank \(0\).

Complex multiplication

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

Modular form 124950.2.a.q

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