Show commands:
SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 24990y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24990.s1 | 24990y1 | \([1, 0, 1, 16, 326]\) | \(10100279/936360\) | \(-45881640\) | \([]\) | \(8064\) | \(0.14959\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24990y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 24990y do not have complex multiplication.Modular form 24990.2.a.y
sage: E.q_eigenform(10)