Properties

Label 249696bi
Number of curves $1$
Conductor $249696$
CM no
Rank $1$

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

Elliptic curves in class 249696bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
249696.bi1 249696bi1 \([0, 0, 0, -7803, 795906]\) \(-216\) \(-243251082561024\) \([]\) \(709632\) \(1.4451\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 249696bi1 has rank \(1\).

Complex multiplication

The elliptic curves in class 249696bi do not have complex multiplication.

Modular form 249696.2.a.bi

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} - 3 q^{11} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display