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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 11200.de
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11200.de1 | 11200bj1 | \([0, 0, 0, -160, 800]\) | \(-221184/7\) | \(-14336000\) | \([]\) | \(4608\) | \(0.14939\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11200.de1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11200.de do not have complex multiplication.Modular form 11200.2.a.de
sage: E.q_eigenform(10)