Properties

Label 296208.bc
Number of curves $1$
Conductor $296208$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 296208.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
296208.bc1 296208bc1 \([0, 0, 0, -6501, 201751]\) \(21529370368/153\) \(215935632\) \([]\) \(221184\) \(0.77787\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 296208.bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 296208.bc do not have complex multiplication.

Modular form 296208.2.a.bc

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