Properties

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

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 75150.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75150.bi1 75150ba1 \([1, -1, 1, -19010, 1014337]\) \(-1543893517395/1368064\) \(-673190092800\) \([]\) \(149760\) \(1.1948\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150.bi1 has rank \(1\).

Complex multiplication

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

Modular form 75150.2.a.bi

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