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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 168952e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
168952.j1 | 168952e1 | \([0, 1, 0, -2564, -51136]\) | \(-61918288/431\) | \(-12980920064\) | \([]\) | \(126720\) | \(0.77420\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 168952e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 168952e do not have complex multiplication.Modular form 168952.2.a.e
sage: E.q_eigenform(10)