Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 90480c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
90480.g1 | 90480c1 | \([0, -1, 0, -90201, 10479285]\) | \(-317046248340941824/775798846875\) | \(-198604504800000\) | \([]\) | \(353280\) | \(1.6220\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 90480c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 90480c do not have complex multiplication.Modular form 90480.2.a.c
sage: E.q_eigenform(10)