Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 277200.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277200.g1 | 277200g1 | \([0, 0, 0, -126075, -34944950]\) | \(-237505212050/427901859\) | \(-399283782670080000\) | \([]\) | \(3981312\) | \(2.0676\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277200.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 277200.g do not have complex multiplication.Modular form 277200.2.a.g
sage: E.q_eigenform(10)