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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 33600de
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 33600.hm1 | 33600de1 | \([0, 1, 0, -30833, -2094537]\) | \(-324179200/63\) | \(-630000000000\) | \([]\) | \(107520\) | \(1.2640\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33600de1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33600de do not have complex multiplication.Modular form 33600.2.a.de
sage: E.q_eigenform(10)