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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 405600f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.f1 | 405600f1 | \([0, -1, 0, -816833, -283878063]\) | \(824348200000/243\) | \(17767226880000\) | \([]\) | \(4354560\) | \(1.9079\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 405600f do not have complex multiplication.Modular form 405600.2.a.f
sage: E.q_eigenform(10)