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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 20230o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 20230.q1 | 20230o1 | \([1, 0, 0, 26823240, 35909026880]\) | \(17997704835884047/15112079933440\) | \(-1792109468759574700359680\) | \([]\) | \(2976768\) | \(3.3415\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20230o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20230o do not have complex multiplication.Modular form 20230.2.a.o
sage: E.q_eigenform(10)