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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 473200de
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 473200.de1 | 473200de1 | \([0, 0, 0, -21125, -1373125]\) | \(-34560/7\) | \(-211172893750000\) | \([]\) | \(1382400\) | \(1.4711\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 473200de1 has rank \(1\).
Complex multiplication
The elliptic curves in class 473200de do not have complex multiplication.Modular form 473200.2.a.de
sage: E.q_eigenform(10)