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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 89280.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
89280.l1 | 89280eu1 | \([0, 0, 0, -13277388, 18718439312]\) | \(-1354547383894636849/8173828125000\) | \(-1562042880000000000000\) | \([]\) | \(7188480\) | \(2.9062\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 89280.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 89280.l do not have complex multiplication.Modular form 89280.2.a.l
sage: E.q_eigenform(10)