Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 30096o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30096.k1 | 30096o1 | \([0, 0, 0, 24, -36]\) | \(221184/209\) | \(-1444608\) | \([]\) | \(4224\) | \(-0.13089\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30096o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30096o do not have complex multiplication.Modular form 30096.2.a.o
sage: E.q_eigenform(10)