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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 235200de
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.de1 | 235200de1 | \([0, -1, 0, 228667, -23196963]\) | \(35840/27\) | \(-996157612800000000\) | \([]\) | \(3386880\) | \(2.1417\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200de1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235200de do not have complex multiplication.Modular form 235200.2.a.de
sage: E.q_eigenform(10)