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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 51520bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51520.m1 | 51520bl1 | \([0, -1, 0, -721, -14455]\) | \(-40535147776/67648175\) | \(-69271731200\) | \([]\) | \(30720\) | \(0.77091\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51520bl1 has rank \(2\).
Complex multiplication
The elliptic curves in class 51520bl do not have complex multiplication.Modular form 51520.2.a.bl
sage: E.q_eigenform(10)