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SageMath
E = EllipticCurve("ij1")
E.isogeny_class()
Elliptic curves in class 162240.ij
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162240.ij1 | 162240fr1 | \([0, 1, 0, -233445, -43491837]\) | \(-17790954496/195\) | \(-15421075537920\) | \([]\) | \(1290240\) | \(1.6848\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162240.ij1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162240.ij do not have complex multiplication.Modular form 162240.2.a.ij
sage: E.q_eigenform(10)