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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 348726.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.w1 | 348726w1 | \([1, 0, 1, 18764, 113119154]\) | \(5606848892375/42419237317632\) | \(-5528117426471119872\) | \([]\) | \(7197120\) | \(2.2753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726.w1 has rank \(2\).
Complex multiplication
The elliptic curves in class 348726.w do not have complex multiplication.Modular form 348726.2.a.w
sage: E.q_eigenform(10)