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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 68544.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68544.f1 | 68544cw1 | \([0, 0, 0, -54, -1566]\) | \(-13824/833\) | \(-1049340096\) | \([]\) | \(30720\) | \(0.41078\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68544.f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 68544.f do not have complex multiplication.Modular form 68544.2.a.f
sage: E.q_eigenform(10)