Show commands:
SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 101080.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101080.x1 | 101080x1 | \([0, 0, 0, -148732, -22744444]\) | \(-30211716096/1071875\) | \(-12909389746400000\) | \([]\) | \(1710720\) | \(1.8637\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101080.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 101080.x do not have complex multiplication.Modular form 101080.2.a.x
sage: E.q_eigenform(10)