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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 43350.cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43350.cf1 | 43350ck1 | \([1, 1, 1, -350563, 189093281]\) | \(-43713001/116640\) | \(-12713317936222500000\) | \([]\) | \(881280\) | \(2.3533\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43350.cf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43350.cf do not have complex multiplication.Modular form 43350.2.a.cf
sage: E.q_eigenform(10)