Properties

Label 271950e
Number of curves $1$
Conductor $271950$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 271950e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
271950.e1 271950e1 \([1, 1, 0, -11294525, 14393282625]\) \(1768981696093969/29494975500\) \(2656760379021492187500\) \([]\) \(20127744\) \(2.9094\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 271950e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 271950e do not have complex multiplication.

Modular form 271950.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} - 5 q^{11} - q^{12} + q^{13} + q^{16} - q^{18} + O(q^{20})\) Copy content Toggle raw display