Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 148225a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
148225.a1 | 148225a1 | \([0, 0, 1, -1037575, 699066156]\) | \(-110592/125\) | \(-139626711661185546875\) | \([]\) | \(11531520\) | \(2.5599\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 148225a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 148225a do not have complex multiplication.Modular form 148225.2.a.a
sage: E.q_eigenform(10)