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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 18480b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18480.a1 | 18480b1 | \([0, -1, 0, -6161, 282525]\) | \(-101043379262464/74271536955\) | \(-19013513460480\) | \([]\) | \(49920\) | \(1.2475\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18480b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18480b do not have complex multiplication.Modular form 18480.2.a.b
sage: E.q_eigenform(10)