Properties

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

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 75150k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75150.a1 75150k1 \([1, -1, 0, 558, 33966]\) \(1685159/45090\) \(-513603281250\) \([]\) \(165888\) \(0.92718\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150k1 has rank \(2\).

Complex multiplication

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

Modular form 75150.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 5 q^{7} - q^{8} - 6 q^{11} + 4 q^{13} + 5 q^{14} + q^{16} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display