Show commands:
SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 78400.cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.cw1 | 78400fe1 | \([0, -1, 0, -28583, 3900037]\) | \(-512\) | \(-5044200875000000\) | \([]\) | \(358400\) | \(1.7027\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.cw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 78400.cw do not have complex multiplication.Modular form 78400.2.a.cw
sage: E.q_eigenform(10)