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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 116242s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116242.u1 | 116242s1 | \([1, 0, 0, -582481, 139784329]\) | \(464566023349849/89298034336\) | \(4201104696905370016\) | \([]\) | \(1728000\) | \(2.2907\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116242s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116242s do not have complex multiplication.Modular form 116242.2.a.s
sage: E.q_eigenform(10)