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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 190608.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190608.s1 | 190608db1 | \([0, -1, 0, -3673, -279179]\) | \(-3121792000/17537553\) | \(-30794259462912\) | \([]\) | \(282880\) | \(1.2722\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190608.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190608.s do not have complex multiplication.Modular form 190608.2.a.s
sage: E.q_eigenform(10)