Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 445280m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
445280.m1 | 445280m1 | \([0, -1, 0, -54224496, 158597991796]\) | \(-14605154817835672/546564453125\) | \(-659850439797131000000000\) | \([]\) | \(52005888\) | \(3.3410\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 445280m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 445280m do not have complex multiplication.Modular form 445280.2.a.m
sage: E.q_eigenform(10)