Properties

Label 190575.be
Number of curves $1$
Conductor $190575$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 190575.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190575.be1 190575bt1 \([1, -1, 1, 59427070, 30135022822]\) \(1382658525/823543\) \(-13824454969197619892578125\) \([]\) \(37255680\) \(3.5134\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190575.be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 190575.be do not have complex multiplication.

Modular form 190575.2.a.be

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