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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 368.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
368.f1 | 368c1 | \([0, 1, 0, -4, -5]\) | \(-562432/23\) | \(-368\) | \([]\) | \(16\) | \(-0.74012\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 368.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 368.f do not have complex multiplication.Modular form 368.2.a.f
sage: E.q_eigenform(10)