Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 196368b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 196368.f1 | 196368b1 | \([0, 1, 0, -632, -6444]\) | \(-6826561273/147276\) | \(-603242496\) | \([]\) | \(239616\) | \(0.47458\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 196368b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 196368b do not have complex multiplication.Modular form 196368.2.a.b
sage: E.q_eigenform(10)