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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 4536.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4536.i1 | 4536d1 | \([0, 0, 0, 81, 243]\) | \(6912/7\) | \(-59521392\) | \([]\) | \(864\) | \(0.17869\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4536.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4536.i do not have complex multiplication.Modular form 4536.2.a.i
sage: E.q_eigenform(10)