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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 33600i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33600.by1 | 33600i1 | \([0, -1, 0, -113, 537]\) | \(-6288640/567\) | \(-14515200\) | \([]\) | \(6144\) | \(0.11742\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33600i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33600i do not have complex multiplication.Modular form 33600.2.a.i
sage: E.q_eigenform(10)