Properties

Label 1350.b
Number of curves $1$
Conductor $1350$
CM no
Rank $0$

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

Elliptic curves in class 1350.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1350.b1 1350e1 \([1, -1, 0, -447, -4339]\) \(-446631/128\) \(-2834352000\) \([]\) \(1008\) \(0.52881\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1350.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1350.b do not have complex multiplication.

Modular form 1350.2.a.b

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