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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 194398k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
194398.s1 | 194398k1 | \([1, -1, 1, -3595251, 2613958867]\) | \(2003092024307193/9529458688\) | \(24449983819276091392\) | \([]\) | \(16796160\) | \(2.5695\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 194398k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 194398k do not have complex multiplication.Modular form 194398.2.a.k
sage: E.q_eigenform(10)