Properties

Label 7488.bi
Number of curves $1$
Conductor $7488$
CM no
Rank $0$

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

Elliptic curves in class 7488.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7488.bi1 7488m1 \([0, 0, 0, -12, -848]\) \(-8/13\) \(-310542336\) \([]\) \(1920\) \(0.30847\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7488.bi1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7488.bi do not have complex multiplication.

Modular form 7488.2.a.bi

sage: E.q_eigenform(10)
 
\(q + q^{5} - 3 q^{7} - 2 q^{11} - q^{13} + 3 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display