Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 466752e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466752.e1 | 466752e1 | \([0, -1, 0, -3550515, -2573864919]\) | \(-77342448315065684437504/40814262224307\) | \(-2612112782355648\) | \([]\) | \(10386432\) | \(2.2887\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466752e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 466752e do not have complex multiplication.Modular form 466752.2.a.e
sage: E.q_eigenform(10)