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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 35322.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35322.l1 | 35322k1 | \([1, 1, 0, -64774, 9048340]\) | \(-42495637383193/25713241344\) | \(-18186487051025664\) | \([]\) | \(331200\) | \(1.8221\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35322.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35322.l do not have complex multiplication.Modular form 35322.2.a.l
sage: E.q_eigenform(10)