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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 5355.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5355.l1 | 5355n1 | \([0, 0, 1, -42838662, -107937569660]\) | \(-11926249134908509075308544/2246680441062421875\) | \(-1637830041534505546875\) | \([]\) | \(336000\) | \(3.0722\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5355.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5355.l do not have complex multiplication.Modular form 5355.2.a.l
sage: E.q_eigenform(10)