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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 303450.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.l1 | 303450l1 | \([1, 1, 0, 7444134100, -22211824285500]\) | \(418557259677940327871/244176605948362500\) | \(-26614324622850227674068164062500\) | \([]\) | \(893030400\) | \(4.7193\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303450.l do not have complex multiplication.Modular form 303450.2.a.l
sage: E.q_eigenform(10)