Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 96600.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96600.e1 | 96600s1 | \([0, -1, 0, -708, -12588]\) | \(-393040/483\) | \(-48300000000\) | \([]\) | \(74880\) | \(0.74362\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96600.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96600.e do not have complex multiplication.Modular form 96600.2.a.e
sage: E.q_eigenform(10)