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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 104742.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
104742.s1 | 104742c1 | \([1, -1, 0, -395262, 95753108]\) | \(-1708632808875/129536\) | \(-517751376772608\) | \([]\) | \(760320\) | \(1.8722\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 104742.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 104742.s do not have complex multiplication.Modular form 104742.2.a.s
sage: E.q_eigenform(10)