Properties

Label 75150x
Number of curves $1$
Conductor $75150$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 75150x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75150.w1 75150x1 \([1, -1, 0, -2727, 380781]\) \(-24616775429/670674672\) \(-61115229486000\) \([]\) \(374784\) \(1.3259\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150x1 has rank \(2\).

Complex multiplication

The elliptic curves in class 75150x do not have complex multiplication.

Modular form 75150.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 4 q^{7} - q^{8} - 5 q^{11} - 3 q^{13} - 4 q^{14} + q^{16} - 7 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display