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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 66654s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66654.p1 | 66654s1 | \([1, -1, 0, -52470, 3222544]\) | \(279841/84\) | \(4795451494667316\) | \([]\) | \(353280\) | \(1.7142\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66654s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66654s do not have complex multiplication.Modular form 66654.2.a.s
sage: E.q_eigenform(10)