Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 77976f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77976.l1 | 77976f1 | \([0, 0, 0, -38988, 3703860]\) | \(-3072\) | \(-2133513390465792\) | \([]\) | \(517104\) | \(1.6539\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77976f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77976f do not have complex multiplication.Modular form 77976.2.a.f
sage: E.q_eigenform(10)