Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 271950.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
271950.r1 271950r1 \([1, 1, 0, -31525, -1989875]\) \(4525790192161/414305280\) \(317202480000000\) \([]\) \(1612800\) \(1.5216\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 271950.r1 has rank \(0\).

Complex multiplication

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

Modular form 271950.2.a.r

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