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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 67830k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67830.l1 | 67830k1 | \([1, 1, 0, 365918, -252509324]\) | \(5418426396033376591319/30713670770098176000\) | \(-30713670770098176000\) | \([]\) | \(2088000\) | \(2.4213\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67830k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67830k do not have complex multiplication.Modular form 67830.2.a.k
sage: E.q_eigenform(10)