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SageMath
E = EllipticCurve("ik1")
E.isogeny_class()
Elliptic curves in class 159936ik
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.l1 | 159936ik1 | \([0, -1, 0, -212, 1254]\) | \(6889792/51\) | \(7836864\) | \([]\) | \(56832\) | \(0.15356\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936ik1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159936ik do not have complex multiplication.Modular form 159936.2.a.ik
sage: E.q_eigenform(10)