Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 508032.o
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 508032.o1 | \([0, 0, 0, -37044, 7260624]\) | \(-288\) | \(-19520226424774656\) | \([]\) | \(3741696\) | \(1.8119\) |
Rank
sage: E.rank()
The elliptic curve 508032.o1 has rank \(2\).
Complex multiplication
The elliptic curves in class 508032.o do not have complex multiplication.Modular form 508032.2.a.o
sage: E.q_eigenform(10)