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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 46090l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46090.k1 | 46090l1 | \([1, 1, 1, -604100, -179539515]\) | \(24380929813290549710401/223075600000000000\) | \(223075600000000000\) | \([]\) | \(624624\) | \(2.1509\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46090l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46090l do not have complex multiplication.Modular form 46090.2.a.l
sage: E.q_eigenform(10)