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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 438615bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
438615.bn1 | 438615bn1 | \([0, 0, 1, 9747, 108029]\) | \(995328/625\) | \(-64305838591875\) | \([]\) | \(1364688\) | \(1.3386\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 438615bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 438615bn do not have complex multiplication.Modular form 438615.2.a.bn
sage: E.q_eigenform(10)