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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 10626c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10626.c1 | 10626c1 | \([1, 1, 0, 591434, 331007572]\) | \(22879231194490519393943/60502362714028376064\) | \(-60502362714028376064\) | \([]\) | \(397440\) | \(2.4794\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10626c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10626c do not have complex multiplication.Modular form 10626.2.a.c
sage: E.q_eigenform(10)