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SageMath
E = EllipticCurve("lk1")
E.isogeny_class()
Elliptic curves in class 141120.lk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.lk1 | 141120y1 | \([0, 0, 0, -252, 2646]\) | \(-110592/125\) | \(-2000376000\) | \([]\) | \(53760\) | \(0.47912\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120.lk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141120.lk do not have complex multiplication.Modular form 141120.2.a.lk
sage: E.q_eigenform(10)