Properties

Label 75150bp
Number of curves $1$
Conductor $75150$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bp1")
 
E.isogeny_class()
 

Elliptic curves in class 75150bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75150.z1 75150bp1 \([1, -1, 1, -68180, 47529447]\) \(-24616775429/670674672\) \(-954925460718750000\) \([]\) \(1873920\) \(2.1306\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150bp1 has rank \(0\).

Complex multiplication

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

Modular form 75150.2.a.bp

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