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SageMath
E = EllipticCurve("fs1")
E.isogeny_class()
Elliptic curves in class 170352.fs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
170352.fs1 | 170352cu1 | \([0, 0, 0, -2445379131, -46810653907862]\) | \(-112205650221491190337/745029571313664\) | \(-10737943166240603234510045184\) | \([]\) | \(153538560\) | \(4.2142\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 170352.fs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 170352.fs do not have complex multiplication.Modular form 170352.2.a.fs
sage: E.q_eigenform(10)