Show commands:
SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 381150.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
381150.r1 | 381150r1 | \([1, -1, 0, -4032, -241664]\) | \(-3287705905/9633792\) | \(-21244678963200\) | \([]\) | \(884736\) | \(1.2442\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 381150.r do not have complex multiplication.Modular form 381150.2.a.r
sage: E.q_eigenform(10)