Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 77616t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77616.cu1 | 77616t1 | \([0, 0, 0, -1323, 83349]\) | \(-6912/77\) | \(-2852924248944\) | \([]\) | \(73728\) | \(1.0719\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77616t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77616t do not have complex multiplication.Modular form 77616.2.a.t
sage: E.q_eigenform(10)