Properties

Label 304200.bj
Number of curves $1$
Conductor $304200$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 304200.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
304200.bj1 304200bj1 \([0, 0, 0, -3315, 60190]\) \(1277380/243\) \(766408780800\) \([]\) \(276480\) \(0.99792\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 304200.bj1 has rank \(2\).

Complex multiplication

The elliptic curves in class 304200.bj do not have complex multiplication.

Modular form 304200.2.a.bj

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