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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 216384.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
216384.l1 | 216384co1 | \([0, -1, 0, 36371263, -149328310431]\) | \(503009937352889/1201583849472\) | \(-12710901825965980517400576\) | \([]\) | \(50319360\) | \(3.5010\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216384.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 216384.l do not have complex multiplication.Modular form 216384.2.a.l
sage: E.q_eigenform(10)