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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 46410.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46410.l1 | 46410j1 | \([1, 1, 0, -29668, -1979312]\) | \(-2888094474031216969/10826524800\) | \(-10826524800\) | \([]\) | \(141120\) | \(1.1406\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46410.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46410.l do not have complex multiplication.Modular form 46410.2.a.l
sage: E.q_eigenform(10)