Show commands:
SageMath
E = EllipticCurve("lm1")
E.isogeny_class()
Elliptic curves in class 277200lm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277200.lm1 | 277200lm1 | \([0, 0, 0, 20325, -3985375]\) | \(137566156032/1096135733\) | \(-7398916197750000\) | \([]\) | \(1505280\) | \(1.7265\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277200lm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 277200lm do not have complex multiplication.Modular form 277200.2.a.lm
sage: E.q_eigenform(10)