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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 360555.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
360555.a1 | 360555a1 | \([0, -1, 1, -616, 53946]\) | \(-4096/195\) | \(-1232665794555\) | \([]\) | \(967680\) | \(1.0000\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 360555.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 360555.a do not have complex multiplication.Modular form 360555.2.a.a
sage: E.q_eigenform(10)