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SageMath
E = EllipticCurve("dj1")
E.isogeny_class()
Elliptic curves in class 135240dj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
135240.ba1 | 135240dj1 | \([0, -1, 0, -57395, -5408640]\) | \(-226698766336/6790635\) | \(-626346551018160\) | \([]\) | \(551040\) | \(1.6173\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 135240dj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 135240dj do not have complex multiplication.Modular form 135240.2.a.dj
sage: E.q_eigenform(10)