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SageMath
E = EllipticCurve("ek1")
E.isogeny_class()
Elliptic curves in class 333270.ek
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333270.ek1 | 333270ek1 | \([1, -1, 1, -1202252, -581392681]\) | \(-3366353209/612360\) | \(-34958841396124733640\) | \([]\) | \(8902656\) | \(2.4750\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333270.ek1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333270.ek do not have complex multiplication.Modular form 333270.2.a.ek
sage: E.q_eigenform(10)