Properties

Label 50960k
Number of curves $1$
Conductor $50960$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 50960k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
50960.q1 50960k1 \([0, -1, 0, -1147400, 496810000]\) \(-693346671296498/40610171875\) \(-9784824035168000000\) \([]\) \(1198080\) \(2.4000\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 50960k1 has rank \(2\).

Complex multiplication

The elliptic curves in class 50960k do not have complex multiplication.

Modular form 50960.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{9} - 5 q^{11} + q^{13} - q^{15} + 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display