Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 9792n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9792.c1 | 9792n1 | \([0, 0, 0, -624, -12256]\) | \(-2249728/4131\) | \(-49340399616\) | \([]\) | \(10240\) | \(0.74188\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9792n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9792n do not have complex multiplication.Modular form 9792.2.a.n
sage: E.q_eigenform(10)