Properties

Label 249696.db
Number of curves $1$
Conductor $249696$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("db1")
 
E.isogeny_class()
 

Elliptic curves in class 249696.db

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
249696.db1 249696db1 \([0, 0, 0, -62424, 6367248]\) \(-13824\) \(-1946008660488192\) \([]\) \(1474560\) \(1.6833\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 249696.db1 has rank \(0\).

Complex multiplication

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

Modular form 249696.2.a.db

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} - 3 q^{7} + 6 q^{11} - 3 q^{13} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display