Show commands:
SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 327990bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327990.bk1 | 327990bk1 | \([1, 0, 0, -61, -655]\) | \(-29878729/199680\) | \(-167930880\) | \([]\) | \(110400\) | \(0.26163\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 327990bk do not have complex multiplication.Modular form 327990.2.a.bk
sage: E.q_eigenform(10)