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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 364650.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
364650.bb1 | 364650bb1 | \([1, 1, 0, -5550, 4820400]\) | \(-30258326584825/16058804167692\) | \(-10036752604807500\) | \([]\) | \(2657280\) | \(1.7495\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 364650.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 364650.bb do not have complex multiplication.Modular form 364650.2.a.bb
sage: E.q_eigenform(10)