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SageMath
E = EllipticCurve("lb1")
E.isogeny_class()
Elliptic curves in class 487872lb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
487872.lb1 | 487872lb1 | \([0, 0, 0, -15972, 556358]\) | \(1216512/343\) | \(127051366204224\) | \([]\) | \(1013760\) | \(1.4132\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872lb1 has rank \(2\).
Complex multiplication
The elliptic curves in class 487872lb do not have complex multiplication.Modular form 487872.2.a.lb
sage: E.q_eigenform(10)