Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 38088.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38088.m1 | 38088ba1 | \([0, 0, 0, -20631, 1180199]\) | \(-562432/23\) | \(-39713884013808\) | \([]\) | \(126720\) | \(1.3769\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38088.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38088.m do not have complex multiplication.Modular form 38088.2.a.m
sage: E.q_eigenform(10)