Properties

Label 58950.u
Number of curves $1$
Conductor $58950$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 58950.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58950.u1 58950i1 \([1, -1, 0, -3717, -193559]\) \(-498677257/1145988\) \(-13053519562500\) \([]\) \(172032\) \(1.2051\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58950.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 58950.u do not have complex multiplication.

Modular form 58950.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 2 q^{7} - q^{8} - 3 q^{11} + 5 q^{13} - 2 q^{14} + q^{16} + 7 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display