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SageMath
E = EllipticCurve("iz1")
E.isogeny_class()
Elliptic curves in class 284592.iz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.iz1 | 284592iz1 | \([0, 1, 0, -7905, -230133]\) | \(123904/21\) | \(9260154672384\) | \([]\) | \(516096\) | \(1.2088\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592.iz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 284592.iz do not have complex multiplication.Modular form 284592.2.a.iz
sage: E.q_eigenform(10)