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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 6762bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6762.bi1 | 6762bl1 | \([1, 0, 0, -30136, 2017952]\) | \(-25727239787761/101406816\) | \(-11930410495584\) | \([]\) | \(17280\) | \(1.3667\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6762bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6762bl do not have complex multiplication.Modular form 6762.2.a.bl
sage: E.q_eigenform(10)