Show commands:
SageMath
E = EllipticCurve("pr1")
E.isogeny_class()
Elliptic curves in class 235200.pr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.pr1 | 235200pr1 | \([0, 1, 0, 1167, -480537]\) | \(1280/729\) | \(-100018800000000\) | \([]\) | \(737280\) | \(1.3654\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200.pr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235200.pr do not have complex multiplication.Modular form 235200.2.a.pr
sage: E.q_eigenform(10)