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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 221067s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
221067.u1 | 221067s1 | \([0, 0, 1, -175692, -5515997]\) | \(31719424/17661\) | \(333940943935252269\) | \([]\) | \(1537536\) | \(2.0528\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 221067s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 221067s do not have complex multiplication.Modular form 221067.2.a.s
sage: E.q_eigenform(10)