Show commands:
SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 60984ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60984.bs1 | 60984ce1 | \([0, 0, 0, -175692, -23835548]\) | \(123904/21\) | \(101651464503477504\) | \([]\) | \(473088\) | \(1.9841\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60984ce1 has rank \(1\).
Complex multiplication
The elliptic curves in class 60984ce do not have complex multiplication.Modular form 60984.2.a.ce
sage: E.q_eigenform(10)