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SageMath
E = EllipticCurve("dn1")
E.isogeny_class()
Elliptic curves in class 226576.dn
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 226576.dn1 | 226576do1 | \([0, 0, 0, -26299, 4058138]\) | \(-1660932/4913\) | \(-5950265291113472\) | \([]\) | \(2654208\) | \(1.7137\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 226576.dn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 226576.dn do not have complex multiplication.Modular form 226576.2.a.dn
sage: E.q_eigenform(10)