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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 6936p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6936.q1 | 6936p1 | \([0, 1, 0, 11464, -18030528]\) | \(23324/19683\) | \(-140599125720271872\) | \([]\) | \(132192\) | \(1.9694\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6936p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6936p do not have complex multiplication.Modular form 6936.2.a.p
sage: E.q_eigenform(10)