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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 75712bl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 75712.d1 | 75712bl1 | \([0, 0, 0, -33807436, -75672026768]\) | \(-19983597574473/3670016\) | \(-784792236264400093184\) | \([]\) | \(11381760\) | \(3.0122\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75712bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 75712bl do not have complex multiplication.Modular form 75712.2.a.bl
sage: E.q_eigenform(10)