Properties

Label 306918bo
Number of curves $1$
Conductor $306918$
CM no
Rank $0$

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

Elliptic curves in class 306918bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
306918.bo1 306918bo1 \([1, -1, 1, -230243, -42498385]\) \(-76711450249/68204\) \(-1200137213179404\) \([]\) \(3317760\) \(1.8185\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 306918bo1 has rank \(0\).

Complex multiplication

The elliptic curves in class 306918bo do not have complex multiplication.

Modular form 306918.2.a.bo

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} + 5 q^{7} + q^{8} - q^{10} - 2 q^{11} - 4 q^{13} + 5 q^{14} + q^{16} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display