Properties

Label 3150.u
Number of curves $1$
Conductor $3150$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 3150.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3150.u1 3150c1 \([1, -1, 0, 363, 7541]\) \(10733445/57344\) \(-28217548800\) \([]\) \(3744\) \(0.68738\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3150.u1 has rank \(0\).

Complex multiplication

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

Modular form 3150.2.a.u

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