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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 341243.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
341243.b1 | 341243b1 | \([1, 0, 0, -35, -125002]\) | \(-1/1421\) | \(-6749898126461\) | \([]\) | \(564480\) | \(1.1406\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 341243.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 341243.b do not have complex multiplication.Modular form 341243.2.a.b
sage: E.q_eigenform(10)