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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 56350.bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56350.bl1 | 56350bv1 | \([1, -1, 1, 45095, -895303]\) | \(137927116575/84410368\) | \(-6206747115520000\) | \([]\) | \(350208\) | \(1.7195\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56350.bl1 has rank \(2\).
Complex multiplication
The elliptic curves in class 56350.bl do not have complex multiplication.Modular form 56350.2.a.bl
sage: E.q_eigenform(10)