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SageMath
E = EllipticCurve("ep1")
E.isogeny_class()
Elliptic curves in class 35280ep
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35280.j1 | 35280ep1 | \([0, 0, 0, 14112, -1963332]\) | \(14155776/84035\) | \(-1845083130428160\) | \([]\) | \(161280\) | \(1.6112\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35280ep1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35280ep do not have complex multiplication.Modular form 35280.2.a.ep
sage: E.q_eigenform(10)