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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 56350.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56350.l1 | 56350m1 | \([1, -1, 0, 1127383, -110785459]\) | \(137927116575/84410368\) | \(-96980423680000000000\) | \([]\) | \(1751040\) | \(2.5243\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56350.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 56350.l do not have complex multiplication.Modular form 56350.2.a.l
sage: E.q_eigenform(10)