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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 147175f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147175.f1 | 147175f1 | \([1, 1, 1, -438, -5529344]\) | \(-1/1421\) | \(-13206936549078125\) | \([]\) | \(940800\) | \(1.7722\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147175f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 147175f do not have complex multiplication.Modular form 147175.2.a.f
sage: E.q_eigenform(10)