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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 332820k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
332820.k1 | 332820k1 | \([0, 0, 0, -77302992, 262521619076]\) | \(-43304636317696/176326875\) | \(-208015998487653869280000\) | \([]\) | \(45416448\) | \(3.3305\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 332820k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 332820k do not have complex multiplication.Modular form 332820.2.a.k
sage: E.q_eigenform(10)