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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 40362q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40362.q1 | 40362q1 | \([1, 0, 1, -540583, -307974100]\) | \(-660776311/1166886\) | \(-30852024944576740506\) | \([]\) | \(1428480\) | \(2.4300\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40362q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40362q do not have complex multiplication.Modular form 40362.2.a.q
sage: E.q_eigenform(10)