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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 374790.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
374790.k1 | 374790k1 | \([1, 1, 0, -154820483, 743188721223]\) | \(-462422340525417209209/1292244765581250\) | \(-1146871986206341479581250\) | \([]\) | \(92160000\) | \(3.4891\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 374790.k do not have complex multiplication.Modular form 374790.2.a.k
sage: E.q_eigenform(10)