Properties

Label 1450.b
Number of curves $1$
Conductor $1450$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 1450.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1450.b1 1450d1 \([1, -1, 0, -992, 12416]\) \(-276531705/3712\) \(-1450000000\) \([]\) \(840\) \(0.56541\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1450.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1450.b do not have complex multiplication.

Modular form 1450.2.a.b

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