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SageMath
E = EllipticCurve("iw1")
E.isogeny_class()
Elliptic curves in class 159936.iw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.iw1 | 159936bl1 | \([0, 1, 0, 698675, 203570177]\) | \(5009339741732864/5271114033171\) | \(-39689042872866238656\) | \([]\) | \(3760128\) | \(2.4473\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.iw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159936.iw do not have complex multiplication.Modular form 159936.2.a.iw
sage: E.q_eigenform(10)