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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 47432.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47432.l1 | 47432h1 | \([0, 0, 0, -65219, 10043726]\) | \(-1188\) | \(-25824366582547456\) | \([]\) | \(304128\) | \(1.8469\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47432.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47432.l do not have complex multiplication.Modular form 47432.2.a.l
sage: E.q_eigenform(10)