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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 24400.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24400.l1 | 24400c1 | \([0, 0, 0, 1974325, 1935868250]\) | \(26596817194679118/65984086015625\) | \(-2111490752500000000000\) | \([]\) | \(1370880\) | \(2.7757\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24400.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 24400.l do not have complex multiplication.Modular form 24400.2.a.l
sage: E.q_eigenform(10)