Show commands:
SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 60984bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60984.v1 | 60984bl1 | \([0, 0, 0, -363, 11979]\) | \(-6912/77\) | \(-58929205104\) | \([]\) | \(30720\) | \(0.74864\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60984bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 60984bl do not have complex multiplication.Modular form 60984.2.a.bl
sage: E.q_eigenform(10)