Show commands:
SageMath
E = EllipticCurve("iu1")
E.isogeny_class()
Elliptic curves in class 235200iu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.iu1 | 235200iu1 | \([0, -1, 0, -57633, 5407137]\) | \(-105484561/1440\) | \(-289013760000000\) | \([]\) | \(1105920\) | \(1.5817\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200iu1 has rank \(2\).
Complex multiplication
The elliptic curves in class 235200iu do not have complex multiplication.Modular form 235200.2.a.iu
sage: E.q_eigenform(10)