Properties

Label 75150.p
Number of curves $1$
Conductor $75150$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 75150.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75150.p1 75150a1 \([1, -1, 0, -2112, -36864]\) \(-1543893517395/1368064\) \(-923443200\) \([]\) \(49920\) \(0.64551\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150.p1 has rank \(1\).

Complex multiplication

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

Modular form 75150.2.a.p

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