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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 169050.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169050.c1 | 169050iy1 | \([1, 1, 0, -25, 10375]\) | \(-49/1242\) | \(-46594406250\) | \([]\) | \(195840\) | \(0.72596\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169050.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 169050.c do not have complex multiplication.Modular form 169050.2.a.c
sage: E.q_eigenform(10)