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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 33635o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 33635.a1 | 33635o1 | \([0, 1, 1, -31992010, -69659326194]\) | \(-4080168919667961856/25751796875\) | \(-22854814518926796875\) | \([]\) | \(2580480\) | \(2.9000\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33635o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33635o do not have complex multiplication.Modular form 33635.2.a.o
sage: E.q_eigenform(10)