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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 5544.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5544.a1 | 5544k1 | \([0, 0, 0, -13359, 594351]\) | \(-610325920583424/55240493\) | \(-23863892976\) | \([]\) | \(7680\) | \(1.0308\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5544.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5544.a do not have complex multiplication.Modular form 5544.2.a.a
sage: E.q_eigenform(10)