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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 10626.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10626.f1 | 10626d1 | \([1, 0, 1, -1252791, -540709298]\) | \(-217449837830486975883625/414553010556986532\) | \(-414553010556986532\) | \([]\) | \(178080\) | \(2.2702\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10626.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10626.f do not have complex multiplication.Modular form 10626.2.a.f
sage: E.q_eigenform(10)