Show commands:
SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 212415bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212415.bg1 | 212415bs1 | \([0, -1, 1, -67404254731, -6736717048591188]\) | \(-11926249134908509075308544/2246680441062421875\) | \(-6380035170854517456059243671875\) | \([]\) | \(580608000\) | \(4.9124\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212415bs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 212415bs do not have complex multiplication.Modular form 212415.2.a.bs
sage: E.q_eigenform(10)