Properties

Label 3150x
Number of curves $1$
Conductor $3150$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 3150x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3150.bi1 3150x1 \([1, -1, 1, 40, -293]\) \(10733445/57344\) \(-38707200\) \([]\) \(1248\) \(0.13807\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3150x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3150x do not have complex multiplication.

Modular form 3150.2.a.x

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