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SageMath
E = EllipticCurve("dj1")
E.isogeny_class()
Elliptic curves in class 45570.dj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
45570.dj1 | 45570dk1 | \([1, 0, 0, -1129500, -464534568]\) | \(-1354547383894636849/8173828125000\) | \(-961642705078125000\) | \([]\) | \(1544400\) | \(2.2902\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 45570.dj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 45570.dj do not have complex multiplication.Modular form 45570.2.a.dj
sage: E.q_eigenform(10)