Properties

Label 381150.d
Number of curves $1$
Conductor $381150$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 381150.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
381150.d1 381150d1 \([1, -1, 0, -1019930742, 12983120268916]\) \(-6989949220475/292626432\) \(-4912191509102705520000000000\) \([]\) \(434903040\) \(4.0802\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 381150.d1 has rank \(2\).

Complex multiplication

The elliptic curves in class 381150.d do not have complex multiplication.

Modular form 381150.2.a.d

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