Properties

Label 59248.bd
Number of curves $1$
Conductor $59248$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 59248.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59248.bd1 59248g1 \([0, 0, 0, 12920825, -452803434067]\) \(100718081964000000/37453512751940327\) \(-88711424902501164518331248\) \([]\) \(25850880\) \(3.6581\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59248.bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 59248.bd do not have complex multiplication.

Modular form 59248.2.a.bd

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - q^{7} + 6 q^{9} - 6 q^{11} + q^{13} + O(q^{20})\) Copy content Toggle raw display