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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 7605l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7605.s1 | 7605l1 | \([0, 0, 1, -273, -1791]\) | \(-18264064/675\) | \(-83160675\) | \([]\) | \(4608\) | \(0.29061\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7605l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7605l do not have complex multiplication.Modular form 7605.2.a.l
sage: E.q_eigenform(10)