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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 43560.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43560.bn1 | 43560w1 | \([0, 0, 0, 2013, -598466]\) | \(453962/78125\) | \(-155247840000000\) | \([]\) | \(120960\) | \(1.4023\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43560.bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43560.bn do not have complex multiplication.Modular form 43560.2.a.bn
sage: E.q_eigenform(10)