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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 6026.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6026.c1 | 6026d1 | \([1, 0, 0, -292759, 60945231]\) | \(2774946215368363466737/1686321866\) | \(1686321866\) | \([]\) | \(27040\) | \(1.5272\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6026.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6026.c do not have complex multiplication.Modular form 6026.2.a.c
sage: E.q_eigenform(10)