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SageMath
E = EllipticCurve("dn1")
E.isogeny_class()
Elliptic curves in class 296240.dn
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 296240.dn1 | 296240dn1 | \([0, 0, 0, -217948, 40345772]\) | \(-30211716096/1071875\) | \(-40621047941600000\) | \([]\) | \(6040320\) | \(1.9592\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296240.dn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 296240.dn do not have complex multiplication.Modular form 296240.2.a.dn
sage: E.q_eigenform(10)