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SageMath
E = EllipticCurve("ij1")
E.isogeny_class()
Elliptic curves in class 485520.ij
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485520.ij1 | 485520ij1 | \([0, 1, 0, -420880, -119179372]\) | \(-288568081/47250\) | \(-1350060192101376000\) | \([]\) | \(7931520\) | \(2.2064\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485520.ij1 has rank \(0\).
Complex multiplication
The elliptic curves in class 485520.ij do not have complex multiplication.Modular form 485520.2.a.ij
sage: E.q_eigenform(10)