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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 34102b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
34102.h1 | 34102b1 | \([1, 0, 1, -25583, 1574014]\) | \(-76711450249/68204\) | \(-1646278756076\) | \([]\) | \(110592\) | \(1.2692\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34102b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 34102b do not have complex multiplication.Modular form 34102.2.a.b
sage: E.q_eigenform(10)