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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 281775.bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
281775.bl1 | 281775bl1 | \([1, 1, 0, 4132550, 40145754625]\) | \(1982251/177957\) | \(-700703567465239634765625\) | \([]\) | \(37013760\) | \(3.2550\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 281775.bl1 has rank \(2\).
Complex multiplication
The elliptic curves in class 281775.bl do not have complex multiplication.Modular form 281775.2.a.bl
sage: E.q_eigenform(10)