Properties

Label 2450.r
Number of curves $1$
Conductor $2450$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 2450.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2450.r1 2450n1 \([1, -1, 0, 383, 52541]\) \(1323/256\) \(-1200500000000\) \([]\) \(5760\) \(0.99706\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2450.r1 has rank \(0\).

Complex multiplication

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

Modular form 2450.2.a.r

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