Properties

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

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 75150.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75150.bf1 75150z1 \([1, -1, 1, 8995, 240997]\) \(190804533093/171008000\) \(-72144000000000\) \([]\) \(239616\) \(1.3465\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150.bf1 has rank \(2\).

Complex multiplication

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

Modular form 75150.2.a.bf

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