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SageMath
E = EllipticCurve("fe1")
E.isogeny_class()
Elliptic curves in class 35280.fe
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35280.fe1 | 35280ci1 | \([0, 0, 0, 94668, -35160244]\) | \(12459008/78125\) | \(-588355590060000000\) | \([]\) | \(376320\) | \(2.0915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35280.fe1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35280.fe do not have complex multiplication.Modular form 35280.2.a.fe
sage: E.q_eigenform(10)