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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 143745.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
143745.p1 | 143745r1 | \([0, -1, 1, -64194235, 197988104781]\) | \(8329098721263616/4725\) | \(16596465419776725\) | \([]\) | \(8311680\) | \(2.8736\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 143745.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 143745.p do not have complex multiplication.Modular form 143745.2.a.p
sage: E.q_eigenform(10)