Properties

Label 2450.i
Number of curves $1$
Conductor $2450$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 2450.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2450.i1 2450a1 \([1, -1, 0, -107, -379]\) \(2268945/128\) \(7683200\) \([]\) \(504\) \(0.075913\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2450.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2450.i do not have complex multiplication.

Modular form 2450.2.a.i

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