Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 135240.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
135240.j1 | 135240bv1 | \([0, -1, 0, 4464, -377460]\) | \(98010576958/665230725\) | \(-66757233715200\) | \([]\) | \(387072\) | \(1.3344\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 135240.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 135240.j do not have complex multiplication.Modular form 135240.2.a.j
sage: E.q_eigenform(10)