Show commands:
SageMath
E = EllipticCurve("lo1")
E.isogeny_class()
Elliptic curves in class 141120lo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.bw1 | 141120lo1 | \([0, 0, 0, -131628, -18381328]\) | \(-215474070728/3645\) | \(-4266493378560\) | \([]\) | \(405504\) | \(1.5535\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120lo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141120lo do not have complex multiplication.Modular form 141120.2.a.lo
sage: E.q_eigenform(10)