Properties

Label 25200.bf
Number of curves $1$
Conductor $25200$
CM no
Rank $1$

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

Elliptic curves in class 25200.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25200.bf1 25200bx1 \([0, 0, 0, 60, 4300]\) \(1024/343\) \(-8001504000\) \([]\) \(11520\) \(0.57938\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25200.bf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25200.bf do not have complex multiplication.

Modular form 25200.2.a.bf

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