Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 4650.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4650.l1 | 4650c1 | \([1, 1, 0, -10, 10]\) | \(-5151505/558\) | \(-13950\) | \([]\) | \(384\) | \(-0.46663\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4650.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4650.l do not have complex multiplication.Modular form 4650.2.a.l
sage: E.q_eigenform(10)