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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 5472.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5472.i1 | 5472c1 | \([0, 0, 0, 45, -54]\) | \(27000/19\) | \(-7091712\) | \([]\) | \(672\) | \(0.0030278\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5472.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5472.i do not have complex multiplication.Modular form 5472.2.a.i
sage: E.q_eigenform(10)