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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 35280bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35280.eh1 | 35280bw1 | \([0, 0, 0, -105987, 15448034]\) | \(-15298178/3125\) | \(-26896255545600000\) | \([]\) | \(241920\) | \(1.8748\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35280bw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35280bw do not have complex multiplication.Modular form 35280.2.a.bw
sage: E.q_eigenform(10)