Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 162624.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162624.i1 | 162624cf1 | \([0, -1, 0, 7583, -608639]\) | \(50250332/194481\) | \(-186606965293056\) | \([]\) | \(491520\) | \(1.4211\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162624.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162624.i do not have complex multiplication.Modular form 162624.2.a.i
sage: E.q_eigenform(10)