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SageMath
E = EllipticCurve("ef1")
E.isogeny_class()
Elliptic curves in class 110544.ef
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110544.ef1 | 110544eh1 | \([0, 1, 0, -9669, 135603]\) | \(207474688/102789\) | \(49533022457856\) | \([]\) | \(369600\) | \(1.3208\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110544.ef1 has rank \(1\).
Complex multiplication
The elliptic curves in class 110544.ef do not have complex multiplication.Modular form 110544.2.a.ef
sage: E.q_eigenform(10)