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SageMath
E = EllipticCurve("dm1")
E.isogeny_class()
Elliptic curves in class 102960.dm
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 102960.dm1 | 102960ej1 | \([0, 0, 0, -480409032, -4052994565844]\) | \(-65703682316544535580729344/1954563946435546875\) | \(-364768541939587500000000\) | \([]\) | \(19261440\) | \(3.6202\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102960.dm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102960.dm do not have complex multiplication.Modular form 102960.2.a.dm
sage: E.q_eigenform(10)