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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 26520q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 26520.i1 | 26520q1 | \([0, -1, 0, 1295, -10043]\) | \(937470577664/698407515\) | \(-178792323840\) | \([]\) | \(28224\) | \(0.84735\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26520q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26520q do not have complex multiplication.Modular form 26520.2.a.q
sage: E.q_eigenform(10)