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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 38962.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38962.l1 | 38962k1 | \([1, -1, 0, -4033013, -3116394187]\) | \(-33843179482786377/26543104\) | \(-5689750071706624\) | \([]\) | \(823680\) | \(2.3299\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38962.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38962.l do not have complex multiplication.Modular form 38962.2.a.l
sage: E.q_eigenform(10)