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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 37905d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37905.a1 | 37905d1 | \([0, -1, 1, -70876, 49568532]\) | \(-122023936/3215625\) | \(-1037642628170596875\) | \([]\) | \(1048800\) | \(2.1375\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37905d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37905d do not have complex multiplication.Modular form 37905.2.a.d
sage: E.q_eigenform(10)