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SageMath
E = EllipticCurve("ex1")
E.isogeny_class()
Elliptic curves in class 364650.ex
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
364650.ex1 | 364650ex1 | \([1, 1, 1, 23287, 10009031]\) | \(89380576197431/2816153442960\) | \(-44002397546250000\) | \([]\) | \(3548160\) | \(1.8736\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 364650.ex1 has rank \(1\).
Complex multiplication
The elliptic curves in class 364650.ex do not have complex multiplication.Modular form 364650.2.a.ex
sage: E.q_eigenform(10)