Properties

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

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

Elliptic curves in class 271950.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
271950.u1 271950u1 \([1, 1, 0, -84025, 10505125]\) \(-85692190673761/13094092800\) \(-10025164800000000\) \([]\) \(2495232\) \(1.7995\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 271950.u1 has rank \(0\).

Complex multiplication

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

Modular form 271950.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} - 3 q^{11} - q^{12} + 6 q^{13} + q^{16} - 2 q^{17} - q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display