Show commands:
SageMath
E = EllipticCurve("pb1")
E.isogeny_class()
Elliptic curves in class 479808.pb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
479808.pb1 | 479808pb1 | \([0, 0, 0, -160524, -61196688]\) | \(-1660932/4913\) | \(-1353126947794255872\) | \([]\) | \(7225344\) | \(2.1660\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808.pb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 479808.pb do not have complex multiplication.Modular form 479808.2.a.pb
sage: E.q_eigenform(10)