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SageMath
E = EllipticCurve("hw1")
E.isogeny_class()
Elliptic curves in class 179520hw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179520.q1 | 179520hw1 | \([0, -1, 0, 49759, -63278559]\) | \(51974460932759/6625297800000\) | \(-1736782066483200000\) | \([]\) | \(3041280\) | \(2.1792\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179520hw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 179520hw do not have complex multiplication.Modular form 179520.2.a.hw
sage: E.q_eigenform(10)