Show commands:
SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 150075x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.bf1 | 150075x1 | \([0, 0, 1, 154950, -284711094]\) | \(36120262639616/3095193917547\) | \(-35256193217058796875\) | \([]\) | \(3686400\) | \(2.4302\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 150075x do not have complex multiplication.Modular form 150075.2.a.x
sage: E.q_eigenform(10)