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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 195195.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
195195.b1 | 195195a1 | \([0, 1, 1, -6281786, 6330076016]\) | \(-5679538912157003776/301860405721875\) | \(-1457022523081997746875\) | \([]\) | \(16934400\) | \(2.8200\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 195195.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 195195.b do not have complex multiplication.Modular form 195195.2.a.b
sage: E.q_eigenform(10)