Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 425880.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
425880.j1 | 425880j1 | \([0, 0, 0, -1789203, 945950798]\) | \(-14854966452482/468838125\) | \(-19991888008485120000\) | \([]\) | \(10838016\) | \(2.4798\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 425880.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 425880.j do not have complex multiplication.Modular form 425880.2.a.j
sage: E.q_eigenform(10)