Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 834.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
834.a1 | 834c1 | \([1, 0, 1, 0, 10]\) | \(12167/45036\) | \(-45036\) | \([]\) | \(96\) | \(-0.42813\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 834.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 834.a do not have complex multiplication.Modular form 834.2.a.a
sage: E.q_eigenform(10)