Properties

Label 28050.db
Number of curves $1$
Conductor $28050$
CM no
Rank $1$

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

Elliptic curves in class 28050.db

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28050.db1 28050dn1 \([1, 0, 0, -106063, 13626617]\) \(-8444922396903721/253364474880\) \(-3958819920000000\) \([]\) \(241920\) \(1.7709\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28050.db1 has rank \(1\).

Complex multiplication

The elliptic curves in class 28050.db do not have complex multiplication.

Modular form 28050.2.a.db

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} - 3 q^{7} + q^{8} + q^{9} + q^{11} + q^{12} + q^{13} - 3 q^{14} + q^{16} + q^{17} + q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display