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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 51600.de
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 51600.de1 | 51600dc1 | \([0, 1, 0, 6867, 91863]\) | \(8951619584/6046875\) | \(-24187500000000\) | \([]\) | \(110592\) | \(1.2568\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51600.de1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51600.de do not have complex multiplication.Modular form 51600.2.a.de
sage: E.q_eigenform(10)