Properties

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

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

Elliptic curves in class 3150.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3150.b1 3150f1 \([1, -1, 0, 1008, -35584]\) \(10733445/57344\) \(-604800000000\) \([]\) \(6240\) \(0.94279\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3150.b1 has rank \(0\).

Complex multiplication

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

Modular form 3150.2.a.b

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