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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 425880l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
425880.l1 | 425880l1 | \([0, 0, 0, -17043, -851058]\) | \(58584324006/420175\) | \(3926545459200\) | \([]\) | \(829440\) | \(1.2486\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 425880l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 425880l do not have complex multiplication.Modular form 425880.2.a.l
sage: E.q_eigenform(10)