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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 38720p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38720.s1 | 38720p1 | \([0, -1, 0, 444, -63050]\) | \(704/125\) | \(-1714871048000\) | \([]\) | \(50688\) | \(1.0268\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38720p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38720p do not have complex multiplication.Modular form 38720.2.a.p
sage: E.q_eigenform(10)