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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 20800.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20800.d1 | 20800ct1 | \([0, 0, 0, -400, -2720]\) | \(17280000/2197\) | \(899891200\) | \([]\) | \(13824\) | \(0.44724\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20800.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20800.d do not have complex multiplication.Modular form 20800.2.a.d
sage: E.q_eigenform(10)