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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 303450bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.bl1 | 303450bl1 | \([1, 1, 0, -1819405, -946005155]\) | \(-1103770289367265/891813888\) | \(-538155481418956800\) | \([]\) | \(10032000\) | \(2.3318\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303450bl do not have complex multiplication.Modular form 303450.2.a.bl
sage: E.q_eigenform(10)