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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 83391s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83391.t1 | 83391s1 | \([0, 1, 1, -156794, 21049385]\) | \(9061356040192/1155048741\) | \(54340285618285821\) | \([]\) | \(1330560\) | \(1.9402\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83391s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 83391s do not have complex multiplication.Modular form 83391.2.a.s
sage: E.q_eigenform(10)