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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 1850l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1850.i1 | 1850l1 | \([1, 0, 0, 312, -3008]\) | \(214921799/378880\) | \(-5920000000\) | \([]\) | \(1056\) | \(0.55999\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1850l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1850l do not have complex multiplication.Modular form 1850.2.a.l
sage: E.q_eigenform(10)