Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 126852i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
126852.h1 | 126852i1 | \([0, 1, 0, 83, 1604]\) | \(4063232/72171\) | \(-1109701296\) | \([]\) | \(63360\) | \(0.41609\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 126852i1 has rank \(2\).
Complex multiplication
The elliptic curves in class 126852i do not have complex multiplication.Modular form 126852.2.a.i
sage: E.q_eigenform(10)