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SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 29400ck
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29400.bf1 | 29400ck1 | \([0, -1, 0, -3930208, -3006053588]\) | \(-8318750/27\) | \(-21790947780000000000\) | \([]\) | \(887040\) | \(2.5766\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400ck1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29400ck do not have complex multiplication.Modular form 29400.2.a.ck
sage: E.q_eigenform(10)