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SageMath
E = EllipticCurve("dt1")
E.isogeny_class()
Elliptic curves in class 69696dt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69696.b1 | 69696dt1 | \([0, 0, 0, -894432, -325615840]\) | \(-30908416/3\) | \(-7680866267086848\) | \([]\) | \(1419264\) | \(2.0840\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69696dt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69696dt do not have complex multiplication.Modular form 69696.2.a.dt
sage: E.q_eigenform(10)