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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 69828.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 69828.q1 | 69828o1 | \([0, -1, 0, -229762, -3851747]\) | \(299591084078848/171885556953\) | \(769610018292551568\) | \([]\) | \(851904\) | \(2.1217\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69828.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 69828.q do not have complex multiplication.Modular form 69828.2.a.q
sage: E.q_eigenform(10)