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SageMath
E = EllipticCurve("dj1")
E.isogeny_class()
Elliptic curves in class 248430dj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248430.dj1 | 248430dj1 | \([1, 0, 1, -298289, -63465244]\) | \(-105484561/1440\) | \(-40068854424012960\) | \([]\) | \(2963520\) | \(1.9926\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248430dj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 248430dj do not have complex multiplication.Modular form 248430.2.a.dj
sage: E.q_eigenform(10)