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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 96330l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96330.c1 | 96330l1 | \([1, 1, 0, -212163, 32780493]\) | \(6249555785939909521/855000000000000\) | \(144495000000000000\) | \([]\) | \(1497600\) | \(2.0196\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96330l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96330l do not have complex multiplication.Modular form 96330.2.a.l
sage: E.q_eigenform(10)