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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 40310.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40310.bb1 | 40310z1 | \([1, 1, 1, -23205, 4618475]\) | \(-1381877673393082321/8453619712000000\) | \(-8453619712000000\) | \([]\) | \(336960\) | \(1.7398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40310.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40310.bb do not have complex multiplication.Modular form 40310.2.a.bb
sage: E.q_eigenform(10)