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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 55470b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55470.a1 | 55470b1 | \([1, 1, 0, -29131033, 60783850237]\) | \(-126504750721/675000\) | \(-14587750561466868075000\) | \([]\) | \(6826680\) | \(3.0975\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55470b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 55470b do not have complex multiplication.Modular form 55470.2.a.b
sage: E.q_eigenform(10)