Properties

Label 412224.bi
Number of curves $1$
Conductor $412224$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 412224.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
412224.bi1 412224bi1 \([0, -1, 0, 86651, 20082997]\) \(70265069588037632/211305921733611\) \(-216377263855217664\) \([]\) \(7833600\) \(2.0097\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 412224.bi1 has rank \(0\).

Complex multiplication

The elliptic curves in class 412224.bi do not have complex multiplication.

Modular form 412224.2.a.bi

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} - 5 q^{7} + q^{9} - 5 q^{13} - 3 q^{15} - 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display