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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 320790l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
320790.l1 | 320790l1 | \([1, 1, 0, -53037, 298794141]\) | \(-683565019129/1597684769280\) | \(-38564226358745080320\) | \([]\) | \(11162880\) | \(2.4372\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 320790l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 320790l do not have complex multiplication.Modular form 320790.2.a.l
sage: E.q_eigenform(10)