Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 75150.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75150.a1 | 75150k1 | \([1, -1, 0, 558, 33966]\) | \(1685159/45090\) | \(-513603281250\) | \([]\) | \(165888\) | \(0.92718\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 75150.a do not have complex multiplication.Modular form 75150.2.a.a
sage: E.q_eigenform(10)