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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 283220.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
283220.l1 | 283220l1 | \([0, -1, 0, -302101, -47440399]\) | \(205520896/53125\) | \(788178523098400000\) | \([]\) | \(2280960\) | \(2.1432\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283220.l1 has rank \(2\).
Complex multiplication
The elliptic curves in class 283220.l do not have complex multiplication.Modular form 283220.2.a.l
sage: E.q_eigenform(10)