Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 195195b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
195195.a1 | 195195b1 | \([0, -1, 1, 1401630, 631139186]\) | \(63090423356788736/72214645051395\) | \(-348566298665878848555\) | \([]\) | \(10063872\) | \(2.6281\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 195195b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 195195b do not have complex multiplication.Modular form 195195.2.a.b
sage: E.q_eigenform(10)