Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 453152.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
453152.m1 | 453152m1 | \([0, -1, 0, -1364176, -841999948]\) | \(-668168/343\) | \(-144126450842337119744\) | \([]\) | \(11280384\) | \(2.5727\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 453152.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 453152.m do not have complex multiplication.Modular form 453152.2.a.m
sage: E.q_eigenform(10)