Show commands:
SageMath
E = EllipticCurve("en1")
E.isogeny_class()
Elliptic curves in class 151200.en
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
151200.en1 | 151200s1 | \([0, 0, 0, -5400, -54000]\) | \(13824/7\) | \(8817984000000\) | \([]\) | \(248832\) | \(1.1765\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 151200.en1 has rank \(0\).
Complex multiplication
The elliptic curves in class 151200.en do not have complex multiplication.Modular form 151200.2.a.en
sage: E.q_eigenform(10)