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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 53361.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53361.a1 | 53361cf1 | \([0, 0, 1, -15065589, 8797048510]\) | \(495616/243\) | \(185414209382461098052629\) | \([]\) | \(9461760\) | \(3.1580\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53361.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53361.a do not have complex multiplication.Modular form 53361.2.a.a
sage: E.q_eigenform(10)