Properties

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

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

Elliptic curves in class 304200.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
304200.bf1 304200bf1 \([0, 0, 0, -316875, 216953750]\) \(-2500/13\) \(-18297467557200000000\) \([]\) \(5806080\) \(2.3804\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 304200.bf1 has rank \(2\).

Complex multiplication

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

Modular form 304200.2.a.bf

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