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SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 14400.dk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 14400.dk1 | 14400ba1 | \([0, 0, 0, 3750, 143750]\) | \(12800/27\) | \(-12301875000000\) | \([]\) | \(23040\) | \(1.1960\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14400.dk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14400.dk do not have complex multiplication.Modular form 14400.2.a.dk
sage: E.q_eigenform(10)