Properties

Label 308898bo
Number of curves $1$
Conductor $308898$
CM no
Rank $2$

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

Elliptic curves in class 308898bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
308898.bo1 308898bo1 \([1, -1, 1, -132983807, 584312729127]\) \(70593496254289/824180736\) \(3036531296246586213924864\) \([]\) \(69189120\) \(3.5100\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 308898bo1 has rank \(2\).

Complex multiplication

The elliptic curves in class 308898bo do not have complex multiplication.

Modular form 308898.2.a.bo

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} - 3 q^{7} + q^{8} + q^{10} - q^{11} - 2 q^{13} - 3 q^{14} + q^{16} - 5 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display