Show commands:
SageMath
E = EllipticCurve("it1")
E.isogeny_class()
Elliptic curves in class 323400.it
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
323400.it1 | 323400it1 | \([0, 1, 0, -4166808, -3275198487]\) | \(-93303976999933696/2910897\) | \(-249609417750000\) | \([]\) | \(5806080\) | \(2.2665\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400.it1 has rank \(0\).
Complex multiplication
The elliptic curves in class 323400.it do not have complex multiplication.Modular form 323400.2.a.it
sage: E.q_eigenform(10)