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SageMath
E = EllipticCurve("eo1")
E.isogeny_class()
Elliptic curves in class 229320.eo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 229320.eo1 | 229320r1 | \([0, 0, 0, -46452, 5909204]\) | \(-504871936/394875\) | \(-8669925639648000\) | \([]\) | \(1267200\) | \(1.7569\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 229320.eo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 229320.eo do not have complex multiplication.Modular form 229320.2.a.eo
sage: E.q_eigenform(10)