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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 5544m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5544.p1 | 5544m1 | \([0, 0, 0, 813, 31883]\) | \(137566156032/1096135733\) | \(-473530636656\) | \([]\) | \(5376\) | \(0.92173\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5544m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5544m do not have complex multiplication.Modular form 5544.2.a.m
sage: E.q_eigenform(10)