Properties

Label 75150n
Number of curves $1$
Conductor $75150$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 75150n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75150.j1 75150n1 \([1, -1, 0, -66042, -6519884]\) \(-2796665386969/1923840\) \(-21913740000000\) \([]\) \(368640\) \(1.4971\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150n1 has rank \(1\).

Complex multiplication

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

Modular form 75150.2.a.n

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