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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 302330bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.bl1 | 302330bl1 | \([1, 0, 0, -476771, 126670865]\) | \(-101874390302149921/12093200\) | \(-1422752886800\) | \([]\) | \(2445312\) | \(1.7530\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302330bl do not have complex multiplication.Modular form 302330.2.a.bl
sage: E.q_eigenform(10)