Properties

Label 303450dt
Number of curves $1$
Conductor $303450$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("dt1")
 
E.isogeny_class()
 

Elliptic curves in class 303450dt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303450.dt1 303450dt1 \([1, 1, 1, -1087513, 590731031]\) \(-2088025/1008\) \(-68667612309843750000\) \([]\) \(10575360\) \(2.5119\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303450dt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 303450dt do not have complex multiplication.

Modular form 303450.2.a.dt

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