Properties

Label 10192.be
Number of curves $1$
Conductor $10192$
CM no
Rank $0$

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

Elliptic curves in class 10192.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10192.be1 10192bi1 \([0, 1, 0, -72, -652]\) \(-29791/104\) \(-146112512\) \([]\) \(2304\) \(0.25266\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10192.be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10192.be do not have complex multiplication.

Modular form 10192.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2 q^{5} - 2 q^{9} - q^{11} + q^{13} + 2 q^{15} - 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display