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SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 30912.ck
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30912.ck1 | 30912x1 | \([0, 1, 0, -1569, -34497]\) | \(-3261064466/1917027\) | \(-251268562944\) | \([]\) | \(38400\) | \(0.89004\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30912.ck1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30912.ck do not have complex multiplication.Modular form 30912.2.a.ck
sage: E.q_eigenform(10)