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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 58835o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 58835.d1 | 58835o1 | \([1, -1, 1, 55998, 2370236]\) | \(2432079/1715\) | \(-13694146767942515\) | \([]\) | \(413280\) | \(1.7848\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58835o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58835o do not have complex multiplication.Modular form 58835.2.a.o
sage: E.q_eigenform(10)