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SageMath
E = EllipticCurve("oe1")
E.isogeny_class()
Elliptic curves in class 187200.oe
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 187200.oe1 | 187200kh1 | \([0, 0, 0, -2182080, 1261722400]\) | \(-769623354048512/15247889631\) | \(-22764977235965952000\) | \([]\) | \(4300800\) | \(2.5072\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200.oe1 has rank \(1\).
Complex multiplication
The elliptic curves in class 187200.oe do not have complex multiplication.Modular form 187200.2.a.oe
sage: E.q_eigenform(10)