Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 15246t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15246.d1 | 15246t1 | \([1, -1, 0, 488592, -324467456]\) | \(146234339790153527/599838494072832\) | \(-52911153723670437888\) | \([]\) | \(524160\) | \(2.4672\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15246t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15246t do not have complex multiplication.Modular form 15246.2.a.t
sage: E.q_eigenform(10)