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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 152592.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
152592.l1 | 152592dd1 | \([0, -1, 0, 55681, 14758470]\) | \(591872/3267\) | \(-105380033164270128\) | \([]\) | \(1116288\) | \(1.9484\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 152592.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 152592.l do not have complex multiplication.Modular form 152592.2.a.l
sage: E.q_eigenform(10)