Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 71148i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71148.m1 | 71148i1 | \([0, -1, 0, 15811, 158985]\) | \(401408/243\) | \(-264602845317888\) | \([]\) | \(252000\) | \(1.4567\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 71148i do not have complex multiplication.Modular form 71148.2.a.i
sage: E.q_eigenform(10)