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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 60984.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60984.bn1 | 60984r1 | \([0, 0, 0, -1452, 7064948]\) | \(-1024/65219\) | \(-21562431864374016\) | \([]\) | \(345600\) | \(1.8130\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60984.bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 60984.bn do not have complex multiplication.Modular form 60984.2.a.bn
sage: E.q_eigenform(10)