Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 370881.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
370881.m1 | 370881m1 | \([1, -1, 1, -7727, -409642572]\) | \(-1/1421\) | \(-72493293958883642061\) | \([]\) | \(9676800\) | \(2.4897\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 370881.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 370881.m do not have complex multiplication.Modular form 370881.2.a.m
sage: E.q_eigenform(10)