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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 397800bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397800.bb1 | 397800bb1 | \([0, 0, 0, -2065709592075, -1142762178126172250]\) | \(-41788232654067676478925951960962/428246593676749551934035\) | \(-9990136537291213547517168480000000\) | \([]\) | \(4737761280\) | \(5.6819\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397800bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 397800bb do not have complex multiplication.Modular form 397800.2.a.bb
sage: E.q_eigenform(10)