Show commands:
SageMath
E = EllipticCurve("ij1")
E.isogeny_class()
Elliptic curves in class 202800ij
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202800.jn1 | 202800ij1 | \([0, 1, 0, -445033, -175379437]\) | \(-504871936/394875\) | \(-7623944815500000000\) | \([]\) | \(3870720\) | \(2.3218\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800ij1 has rank \(0\).
Complex multiplication
The elliptic curves in class 202800ij do not have complex multiplication.Modular form 202800.2.a.ij
sage: E.q_eigenform(10)