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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 5544.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5544.i1 | 5544c1 | \([0, 0, 0, -3, -9]\) | \(-6912/77\) | \(-33264\) | \([]\) | \(256\) | \(-0.45031\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5544.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5544.i do not have complex multiplication.Modular form 5544.2.a.i
sage: E.q_eigenform(10)