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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 71148f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71148.z1 | 71148f1 | \([0, -1, 0, -173917, 27983782]\) | \(-70647808/27\) | \(-222339890857392\) | \([]\) | \(441936\) | \(1.7189\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 71148f do not have complex multiplication.Modular form 71148.2.a.f
sage: E.q_eigenform(10)