Properties

Label 1150.e
Number of curves $1$
Conductor $1150$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 1150.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1150.e1 1150i1 \([1, -1, 1, 195, -7803]\) \(2109375/67712\) \(-26450000000\) \([]\) \(2520\) \(0.67987\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1150.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1150.e do not have complex multiplication.

Modular form 1150.2.a.e

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} - 3 q^{6} - 4 q^{7} + q^{8} + 6 q^{9} + 3 q^{11} - 3 q^{12} + 6 q^{13} - 4 q^{14} + q^{16} - 5 q^{17} + 6 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display