Properties

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

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Show commands: SageMath
E = EllipticCurve("bo1")
 
E.isogeny_class()
 

Elliptic curves in class 75150.bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75150.bo1 75150bs1 \([1, -1, 1, -146646116555, 21614973135817947]\) \(-1224751130206834971784807336585/61328559574089728\) \(-17464265597465395200000000\) \([]\) \(230551200\) \(4.7658\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150.bo1 has rank \(1\).

Complex multiplication

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

Modular form 75150.2.a.bo

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