Properties

Label 271950d
Number of curves $1$
Conductor $271950$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 271950d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
271950.d1 271950d1 \([1, 1, 0, -159275, -24991875]\) \(-243087455521/5328000\) \(-9794279250000000\) \([]\) \(2661120\) \(1.8576\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 271950d1 has rank \(1\).

Complex multiplication

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

Modular form 271950.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} - 5 q^{11} - q^{12} - 2 q^{13} + q^{16} + 3 q^{17} - q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display