Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 3136.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3136.i1 | 3136g1 | \([0, -1, 0, -3201, -63671]\) | \(12544\) | \(289254654976\) | \([]\) | \(2688\) | \(0.94266\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3136.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3136.i do not have complex multiplication.Modular form 3136.2.a.i
sage: E.q_eigenform(10)